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Finding the Fourth Proportional to 517,526.66, 714,207.76 and 288,069.39

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Solution

The fourth proportional to 517,526.66, 714,207.76 and 288,069.39 is: 397,547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,526.66 : 714,207.76 = 288,069.39 : x
  2. Step 2: Convert to fraction form
    517,526.66/714,207.76 = 288,069.39/x
  3. Step 3: Cross multiply
    517,526.66x = 714,207.76 × 288,069.39
  4. Step 4: Simplify right side
    517,526.66x = 205,741,393,036.29
  5. Step 5: Solve for x
    x = 205,741,393,036.29/517,526.66
  6. Step 6: Final answer
    x = 397,547.43

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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.