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Finding the Fourth Proportional to 538,947.60, 808,421.40 and 512,703.60

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Solution

The fourth proportional to 538,947.60, 808,421.40 and 512,703.60 is: 769,055.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,947.60 : 808,421.40 = 512,703.60 : x
  2. Step 2: Convert to fraction form
    538,947.60/808,421.40 = 512,703.60/x
  3. Step 3: Cross multiply
    538,947.60x = 808,421.40 × 512,703.60
  4. Step 4: Simplify right side
    538,947.60x = 414,480,562,097.04
  5. Step 5: Solve for x
    x = 414,480,562,097.04/538,947.60
  6. Step 6: Final answer
    x = 769,055.40

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.