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Finding the Fourth Proportional to 470,545.40, 649,356.53 and 255,685.46

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Solution

The fourth proportional to 470,545.40, 649,356.53 and 255,685.46 is: 352,848.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,545.40 : 649,356.53 = 255,685.46 : x
  2. Step 2: Convert to fraction form
    470,545.40/649,356.53 = 255,685.46/x
  3. Step 3: Cross multiply
    470,545.40x = 649,356.53 × 255,685.46
  4. Step 4: Simplify right side
    470,545.40x = 166,031,018,551.84
  5. Step 5: Solve for x
    x = 166,031,018,551.84/470,545.40
  6. Step 6: Final answer
    x = 352,848.04

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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.