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Finding the Fourth Proportional to 284,357.55, 392,413.13 and 157,032.84

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Solution

The fourth proportional to 284,357.55, 392,413.13 and 157,032.84 is: 216,705.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,357.55 : 392,413.13 = 157,032.84 : x
  2. Step 2: Convert to fraction form
    284,357.55/392,413.13 = 157,032.84/x
  3. Step 3: Cross multiply
    284,357.55x = 392,413.13 × 157,032.84
  4. Step 4: Simplify right side
    284,357.55x = 61,621,747,472.03
  5. Step 5: Solve for x
    x = 61,621,747,472.03/284,357.55
  6. Step 6: Final answer
    x = 216,705.16

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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.