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Finding the Fourth Proportional to 653,545.80, 901,628.70 and 411,401.16

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Solution

The fourth proportional to 653,545.80, 901,628.70 and 411,401.16 is: 567,567.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,545.80 : 901,628.70 = 411,401.16 : x
  2. Step 2: Convert to fraction form
    653,545.80/901,628.70 = 411,401.16/x
  3. Step 3: Cross multiply
    653,545.80x = 901,628.70 × 411,401.16
  4. Step 4: Simplify right side
    653,545.80x = 370,931,093,069.29
  5. Step 5: Solve for x
    x = 370,931,093,069.29/653,545.80
  6. Step 6: Final answer
    x = 567,567.10

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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.