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Finding the Fourth Proportional to 407,412.98, 562,225.65 and 226,126.47

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Solution

The fourth proportional to 407,412.98, 562,225.65 and 226,126.47 is: 312,052.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,412.98 : 562,225.65 = 226,126.47 : x
  2. Step 2: Convert to fraction form
    407,412.98/562,225.65 = 226,126.47/x
  3. Step 3: Cross multiply
    407,412.98x = 562,225.65 × 226,126.47
  4. Step 4: Simplify right side
    407,412.98x = 127,134,101,577.96
  5. Step 5: Solve for x
    x = 127,134,101,577.96/407,412.98
  6. Step 6: Final answer
    x = 312,052.17

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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.