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Finding the Fourth Proportional to 407,666.64, 562,561.05 and 226,390.08

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Solution

The fourth proportional to 407,666.64, 562,561.05 and 226,390.08 is: 312,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,666.64 : 562,561.05 = 226,390.08 : x
  2. Step 2: Convert to fraction form
    407,666.64/562,561.05 = 226,390.08/x
  3. Step 3: Cross multiply
    407,666.64x = 562,561.05 × 226,390.08
  4. Step 4: Simplify right side
    407,666.64x = 127,358,241,114.38
  5. Step 5: Solve for x
    x = 127,358,241,114.38/407,666.64
  6. Step 6: Final answer
    x = 312,407.81

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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.