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Finding the Fourth Proportional to 407,432.78, 562,248.78 and 226,134.08

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Solution

The fourth proportional to 407,432.78, 562,248.78 and 226,134.08 is: 312,060.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,432.78 : 562,248.78 = 226,134.08 : x
  2. Step 2: Convert to fraction form
    407,432.78/562,248.78 = 226,134.08/x
  3. Step 3: Cross multiply
    407,432.78x = 562,248.78 × 226,134.08
  4. Step 4: Simplify right side
    407,432.78x = 127,143,610,596.42
  5. Step 5: Solve for x
    x = 127,143,610,596.42/407,432.78
  6. Step 6: Final answer
    x = 312,060.34

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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.