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Finding the Fourth Proportional to 357,234.40, 535,951.14 and 291,297.16

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Solution

The fourth proportional to 357,234.40, 535,951.14 and 291,297.16 is: 437,026.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,234.40 : 535,951.14 = 291,297.16 : x
  2. Step 2: Convert to fraction form
    357,234.40/535,951.14 = 291,297.16/x
  3. Step 3: Cross multiply
    357,234.40x = 535,951.14 × 291,297.16
  4. Step 4: Simplify right side
    357,234.40x = 156,121,044,980.76
  5. Step 5: Solve for x
    x = 156,121,044,980.76/357,234.40
  6. Step 6: Final answer
    x = 437,026.91

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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.