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Finding the Fourth Proportional to 294,712.13, 406,702.74 and 160,576.13

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Solution

The fourth proportional to 294,712.13, 406,702.74 and 160,576.13 is: 221,595.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,712.13 : 406,702.74 = 160,576.13 : x
  2. Step 2: Convert to fraction form
    294,712.13/406,702.74 = 160,576.13/x
  3. Step 3: Cross multiply
    294,712.13x = 406,702.74 × 160,576.13
  4. Step 4: Simplify right side
    294,712.13x = 65,306,750,016.08
  5. Step 5: Solve for x
    x = 65,306,750,016.08/294,712.13
  6. Step 6: Final answer
    x = 221,595.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.