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Finding the Fourth Proportional to 477,473.63, 716,058.27 and 157,565.88

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Solution

The fourth proportional to 477,473.63, 716,058.27 and 157,565.88 is: 236,298.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,473.63 : 716,058.27 = 157,565.88 : x
  2. Step 2: Convert to fraction form
    477,473.63/716,058.27 = 157,565.88/x
  3. Step 3: Cross multiply
    477,473.63x = 716,058.27 × 157,565.88
  4. Step 4: Simplify right side
    477,473.63x = 112,826,351,443.83
  5. Step 5: Solve for x
    x = 112,826,351,443.83/477,473.63
  6. Step 6: Final answer
    x = 236,298.60

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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.