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Finding the Fourth Proportional to 310,454.40, 465,292 and 132,752.48

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Solution

The fourth proportional to 310,454.40, 465,292 and 132,752.48 is: 198,962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,454.40 : 465,292 = 132,752.48 : x
  2. Step 2: Convert to fraction form
    310,454.40/465,292 = 132,752.48/x
  3. Step 3: Cross multiply
    310,454.40x = 465,292 × 132,752.48
  4. Step 4: Simplify right side
    310,454.40x = 61,768,666,924.16
  5. Step 5: Solve for x
    x = 61,768,666,924.16/310,454.40
  6. Step 6: Final answer
    x = 198,962.12

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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.