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Finding the Fourth Proportional to 304,965.60, 457,448.40 and 83,349.60

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Solution

The fourth proportional to 304,965.60, 457,448.40 and 83,349.60 is: 125,024.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,965.60 : 457,448.40 = 83,349.60 : x
  2. Step 2: Convert to fraction form
    304,965.60/457,448.40 = 83,349.60/x
  3. Step 3: Cross multiply
    304,965.60x = 457,448.40 × 83,349.60
  4. Step 4: Simplify right side
    304,965.60x = 38,128,141,160.64
  5. Step 5: Solve for x
    x = 38,128,141,160.64/304,965.60
  6. Step 6: Final answer
    x = 125,024.40

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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.