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Finding the Fourth Proportional to 477,462.32, 716,082.40 and 140,412.82

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Solution

The fourth proportional to 477,462.32, 716,082.40 and 140,412.82 is: 210,586.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,462.32 : 716,082.40 = 140,412.82 : x
  2. Step 2: Convert to fraction form
    477,462.32/716,082.40 = 140,412.82/x
  3. Step 3: Cross multiply
    477,462.32x = 716,082.40 × 140,412.82
  4. Step 4: Simplify right side
    477,462.32x = 100,547,144,853.89
  5. Step 5: Solve for x
    x = 100,547,144,853.89/477,462.32
  6. Step 6: Final answer
    x = 210,586.55

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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.