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Finding the Fourth Proportional to 487,698.48, 731,473.80 and 132,740.16

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Solution

The fourth proportional to 487,698.48, 731,473.80 and 132,740.16 is: 199,090.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,698.48 : 731,473.80 = 132,740.16 : x
  2. Step 2: Convert to fraction form
    487,698.48/731,473.80 = 132,740.16/x
  3. Step 3: Cross multiply
    487,698.48x = 731,473.80 × 132,740.16
  4. Step 4: Simplify right side
    487,698.48x = 97,095,949,247.81
  5. Step 5: Solve for x
    x = 97,095,949,247.81/487,698.48
  6. Step 6: Final answer
    x = 199,090.12

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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.