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Finding the Fourth Proportional to 402,177.56, 602,347.59 and 191,963.12

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Solution

The fourth proportional to 402,177.56, 602,347.59 and 191,963.12 is: 287,506.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,177.56 : 602,347.59 = 191,963.12 : x
  2. Step 2: Convert to fraction form
    402,177.56/602,347.59 = 191,963.12/x
  3. Step 3: Cross multiply
    402,177.56x = 602,347.59 × 191,963.12
  4. Step 4: Simplify right side
    402,177.56x = 115,628,519,689.14
  5. Step 5: Solve for x
    x = 115,628,519,689.14/402,177.56
  6. Step 6: Final answer
    x = 287,506.15

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1.5x scale

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.