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Finding the Fourth Proportional to 477,776.46, 716,549.87 and 140,726.06

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Solution

The fourth proportional to 477,776.46, 716,549.87 and 140,726.06 is: 211,055.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,776.46 : 716,549.87 = 140,726.06 : x
  2. Step 2: Convert to fraction form
    477,776.46/716,549.87 = 140,726.06/x
  3. Step 3: Cross multiply
    477,776.46x = 716,549.87 × 140,726.06
  4. Step 4: Simplify right side
    477,776.46x = 100,837,235,712.23
  5. Step 5: Solve for x
    x = 100,837,235,712.23/477,776.46
  6. Step 6: Final answer
    x = 211,055.26

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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.