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Finding the Fourth Proportional to 517,700.74, 714,526.10 and 313,862.76

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Solution

The fourth proportional to 517,700.74, 714,526.10 and 313,862.76 is: 433,190.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,700.74 : 714,526.10 = 313,862.76 : x
  2. Step 2: Convert to fraction form
    517,700.74/714,526.10 = 313,862.76/x
  3. Step 3: Cross multiply
    517,700.74x = 714,526.10 × 313,862.76
  4. Step 4: Simplify right side
    517,700.74x = 224,263,133,838.04
  5. Step 5: Solve for x
    x = 224,263,133,838.04/517,700.74
  6. Step 6: Final answer
    x = 433,190.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.