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Finding the Fourth Proportional to 473,762.48, 653,582.22 and 282,664.76

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Solution

The fourth proportional to 473,762.48, 653,582.22 and 282,664.76 is: 389,952.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,762.48 : 653,582.22 = 282,664.76 : x
  2. Step 2: Convert to fraction form
    473,762.48/653,582.22 = 282,664.76/x
  3. Step 3: Cross multiply
    473,762.48x = 653,582.22 × 282,664.76
  4. Step 4: Simplify right side
    473,762.48x = 184,744,661,356.57
  5. Step 5: Solve for x
    x = 184,744,661,356.57/473,762.48
  6. Step 6: Final answer
    x = 389,952.07

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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.