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Finding the Fourth Proportional to 622,189.10, 934,267.80 and 472,598.30

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Solution

The fourth proportional to 622,189.10, 934,267.80 and 472,598.30 is: 709,644.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,189.10 : 934,267.80 = 472,598.30 : x
  2. Step 2: Convert to fraction form
    622,189.10/934,267.80 = 472,598.30/x
  3. Step 3: Cross multiply
    622,189.10x = 934,267.80 × 472,598.30
  4. Step 4: Simplify right side
    622,189.10x = 441,533,374,024.74
  5. Step 5: Solve for x
    x = 441,533,374,024.74/622,189.10
  6. Step 6: Final answer
    x = 709,644.98

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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.