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Finding the Fourth Proportional to 470,545.20, 705,817.80 and 399,686.40

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Solution

The fourth proportional to 470,545.20, 705,817.80 and 399,686.40 is: 599,529.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,545.20 : 705,817.80 = 399,686.40 : x
  2. Step 2: Convert to fraction form
    470,545.20/705,817.80 = 399,686.40/x
  3. Step 3: Cross multiply
    470,545.20x = 705,817.80 × 399,686.40
  4. Step 4: Simplify right side
    470,545.20x = 282,105,775,537.92
  5. Step 5: Solve for x
    x = 282,105,775,537.92/470,545.20
  6. Step 6: Final answer
    x = 599,529.60

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Similar ratio
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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.