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Finding the Fourth Proportional to 616,983.40, 924,162.90 and 512,007.40

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Solution

The fourth proportional to 616,983.40, 924,162.90 and 512,007.40 is: 766,922.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,983.40 : 924,162.90 = 512,007.40 : x
  2. Step 2: Convert to fraction form
    616,983.40/924,162.90 = 512,007.40/x
  3. Step 3: Cross multiply
    616,983.40x = 924,162.90 × 512,007.40
  4. Step 4: Simplify right side
    616,983.40x = 473,178,243,605.46
  5. Step 5: Solve for x
    x = 473,178,243,605.46/616,983.40
  6. Step 6: Final answer
    x = 766,922.16

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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.