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Finding the Fourth Proportional to 298,066.48, 411,123.54 and 202,407.10

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Solution

The fourth proportional to 298,066.48, 411,123.54 and 202,407.10 is: 279,180.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,066.48 : 411,123.54 = 202,407.10 : x
  2. Step 2: Convert to fraction form
    298,066.48/411,123.54 = 202,407.10/x
  3. Step 3: Cross multiply
    298,066.48x = 411,123.54 × 202,407.10
  4. Step 4: Simplify right side
    298,066.48x = 83,214,323,473.13
  5. Step 5: Solve for x
    x = 83,214,323,473.13/298,066.48
  6. Step 6: Final answer
    x = 279,180.41

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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.