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Finding the Fourth Proportional to 357,267.12, 535,400.28 and 268,464

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Solution

The fourth proportional to 357,267.12, 535,400.28 and 268,464 is: 402,319.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,267.12 : 535,400.28 = 268,464 : x
  2. Step 2: Convert to fraction form
    357,267.12/535,400.28 = 268,464/x
  3. Step 3: Cross multiply
    357,267.12x = 535,400.28 × 268,464
  4. Step 4: Simplify right side
    357,267.12x = 143,735,700,769.92
  5. Step 5: Solve for x
    x = 143,735,700,769.92/357,267.12
  6. Step 6: Final answer
    x = 402,319.98

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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.