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Finding the Fourth Proportional to 477,534.69, 716,055.54 and 140,531.58

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Solution

The fourth proportional to 477,534.69, 716,055.54 and 140,531.58 is: 210,724.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,534.69 : 716,055.54 = 140,531.58 : x
  2. Step 2: Convert to fraction form
    477,534.69/716,055.54 = 140,531.58/x
  3. Step 3: Cross multiply
    477,534.69x = 716,055.54 × 140,531.58
  4. Step 4: Simplify right side
    477,534.69x = 100,628,418,681.36
  5. Step 5: Solve for x
    x = 100,628,418,681.36/477,534.69
  6. Step 6: Final answer
    x = 210,724.83

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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.