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Finding the Fourth Proportional to 284,275.60, 426,413.40 and 151,415.35

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Solution

The fourth proportional to 284,275.60, 426,413.40 and 151,415.35 is: 227,123.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,275.60 : 426,413.40 = 151,415.35 : x
  2. Step 2: Convert to fraction form
    284,275.60/426,413.40 = 151,415.35/x
  3. Step 3: Cross multiply
    284,275.60x = 426,413.40 × 151,415.35
  4. Step 4: Simplify right side
    284,275.60x = 64,565,534,205.69
  5. Step 5: Solve for x
    x = 64,565,534,205.69/284,275.60
  6. Step 6: Final answer
    x = 227,123.03

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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.