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Finding the Fourth Proportional to 506,574.86, 759,862.13 and 190,957.95

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Solution

The fourth proportional to 506,574.86, 759,862.13 and 190,957.95 is: 286,436.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,574.86 : 759,862.13 = 190,957.95 : x
  2. Step 2: Convert to fraction form
    506,574.86/759,862.13 = 190,957.95/x
  3. Step 3: Cross multiply
    506,574.86x = 759,862.13 × 190,957.95
  4. Step 4: Simplify right side
    506,574.86x = 145,101,713,672.64
  5. Step 5: Solve for x
    x = 145,101,713,672.64/506,574.86
  6. Step 6: Final answer
    x = 286,436.87

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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.