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Finding the Fourth Proportional to 388,894.94, 583,293.20 and 152,403.69

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Solution

The fourth proportional to 388,894.94, 583,293.20 and 152,403.69 is: 228,586.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    388,894.94 : 583,293.20 = 152,403.69 : x
  2. Step 2: Convert to fraction form
    388,894.94/583,293.20 = 152,403.69/x
  3. Step 3: Cross multiply
    388,894.94x = 583,293.20 × 152,403.69
  4. Step 4: Simplify right side
    388,894.94x = 88,896,035,269.89
  5. Step 5: Solve for x
    x = 88,896,035,269.89/388,894.94
  6. Step 6: Final answer
    x = 228,586.25

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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.