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Finding the Fourth Proportional to 473,545.11, 653,284.66 and 289,792.54

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Solution

The fourth proportional to 473,545.11, 653,284.66 and 289,792.54 is: 399,786.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,545.11 : 653,284.66 = 289,792.54 : x
  2. Step 2: Convert to fraction form
    473,545.11/653,284.66 = 289,792.54/x
  3. Step 3: Cross multiply
    473,545.11x = 653,284.66 × 289,792.54
  4. Step 4: Simplify right side
    473,545.11x = 189,317,016,702.63
  5. Step 5: Solve for x
    x = 189,317,016,702.63/473,545.11
  6. Step 6: Final answer
    x = 399,786.66

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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.