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Finding the Fourth Proportional to 377,480.25, 566,298.14 and 155,864.25

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Solution

The fourth proportional to 377,480.25, 566,298.14 and 155,864.25 is: 233,828.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,480.25 : 566,298.14 = 155,864.25 : x
  2. Step 2: Convert to fraction form
    377,480.25/566,298.14 = 155,864.25/x
  3. Step 3: Cross multiply
    377,480.25x = 566,298.14 × 155,864.25
  4. Step 4: Simplify right side
    377,480.25x = 88,265,634,088.17
  5. Step 5: Solve for x
    x = 88,265,634,088.17/377,480.25
  6. Step 6: Final answer
    x = 233,828.48

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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.