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Finding the Fourth Proportional to 437,345.40, 656,018.10 and 295,627.80

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Solution

The fourth proportional to 437,345.40, 656,018.10 and 295,627.80 is: 443,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,345.40 : 656,018.10 = 295,627.80 : x
  2. Step 2: Convert to fraction form
    437,345.40/656,018.10 = 295,627.80/x
  3. Step 3: Cross multiply
    437,345.40x = 656,018.10 × 295,627.80
  4. Step 4: Simplify right side
    437,345.40x = 193,937,187,663.18
  5. Step 5: Solve for x
    x = 193,937,187,663.18/437,345.40
  6. Step 6: Final answer
    x = 443,441.70

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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.