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Finding the Fourth Proportional to 388,978.80, 583,468.20 and 152,242.80

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Solution

The fourth proportional to 388,978.80, 583,468.20 and 152,242.80 is: 228,364.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,978.80 : 583,468.20 = 152,242.80 : x
  2. Step 2: Convert to fraction form
    388,978.80/583,468.20 = 152,242.80/x
  3. Step 3: Cross multiply
    388,978.80x = 583,468.20 × 152,242.80
  4. Step 4: Simplify right side
    388,978.80x = 88,828,832,478.96
  5. Step 5: Solve for x
    x = 88,828,832,478.96/388,978.80
  6. Step 6: Final answer
    x = 228,364.20

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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.