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Finding the Fourth Proportional to 419,239.13, 578,602.28 and 238,009.73

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Solution

The fourth proportional to 419,239.13, 578,602.28 and 238,009.73 is: 328,483.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,239.13 : 578,602.28 = 238,009.73 : x
  2. Step 2: Convert to fraction form
    419,239.13/578,602.28 = 238,009.73/x
  3. Step 3: Cross multiply
    419,239.13x = 578,602.28 × 238,009.73
  4. Step 4: Simplify right side
    419,239.13x = 137,712,972,440.18
  5. Step 5: Solve for x
    x = 137,712,972,440.18/419,239.13
  6. Step 6: Final answer
    x = 328,483.11

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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.