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Finding the Fourth Proportional to 589,712.40, 883,256.40 and 510,980.40

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Solution

The fourth proportional to 589,712.40, 883,256.40 and 510,980.40 is: 765,333.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,712.40 : 883,256.40 = 510,980.40 : x
  2. Step 2: Convert to fraction form
    589,712.40/883,256.40 = 510,980.40/x
  3. Step 3: Cross multiply
    589,712.40x = 883,256.40 × 510,980.40
  4. Step 4: Simplify right side
    589,712.40x = 451,326,708,574.56
  5. Step 5: Solve for x
    x = 451,326,708,574.56/589,712.40
  6. Step 6: Final answer
    x = 765,333.59

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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.