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Finding the Fourth Proportional to 407,421.92, 562,248.24 and 226,145.52

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Solution

The fourth proportional to 407,421.92, 562,248.24 and 226,145.52 is: 312,084.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,421.92 : 562,248.24 = 226,145.52 : x
  2. Step 2: Convert to fraction form
    407,421.92/562,248.24 = 226,145.52/x
  3. Step 3: Cross multiply
    407,421.92x = 562,248.24 × 226,145.52
  4. Step 4: Simplify right side
    407,421.92x = 127,149,920,603.89
  5. Step 5: Solve for x
    x = 127,149,920,603.89/407,421.92
  6. Step 6: Final answer
    x = 312,084.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.