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Finding the Fourth Proportional to 616,094.10, 924,078.51 and 417,689.46

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Solution

The fourth proportional to 616,094.10, 924,078.51 and 417,689.46 is: 626,491.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,094.10 : 924,078.51 = 417,689.46 : x
  2. Step 2: Convert to fraction form
    616,094.10/924,078.51 = 417,689.46/x
  3. Step 3: Cross multiply
    616,094.10x = 924,078.51 × 417,689.46
  4. Step 4: Simplify right side
    616,094.10x = 385,977,853,839.51
  5. Step 5: Solve for x
    x = 385,977,853,839.51/616,094.10
  6. Step 6: Final answer
    x = 626,491.72

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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.