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Finding the Fourth Proportional to 437,810.60, 657,234.30 and 434,700.20

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Solution

The fourth proportional to 437,810.60, 657,234.30 and 434,700.20 is: 652,565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,810.60 : 657,234.30 = 434,700.20 : x
  2. Step 2: Convert to fraction form
    437,810.60/657,234.30 = 434,700.20/x
  3. Step 3: Cross multiply
    437,810.60x = 657,234.30 × 434,700.20
  4. Step 4: Simplify right side
    437,810.60x = 285,699,881,656.86
  5. Step 5: Solve for x
    x = 285,699,881,656.86/437,810.60
  6. Step 6: Final answer
    x = 652,565.02

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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.