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Finding the Fourth Proportional to 477,041.64, 658,054.50 and 387,462.12

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Solution

The fourth proportional to 477,041.64, 658,054.50 and 387,462.12 is: 534,484.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,041.64 : 658,054.50 = 387,462.12 : x
  2. Step 2: Convert to fraction form
    477,041.64/658,054.50 = 387,462.12/x
  3. Step 3: Cross multiply
    477,041.64x = 658,054.50 × 387,462.12
  4. Step 4: Simplify right side
    477,041.64x = 254,971,191,645.54
  5. Step 5: Solve for x
    x = 254,971,191,645.54/477,041.64
  6. Step 6: Final answer
    x = 534,484.14

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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.