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Finding the Fourth Proportional to 473,925.60, 710,888.28 and 189,744

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Solution

The fourth proportional to 473,925.60, 710,888.28 and 189,744 is: 284,615.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,925.60 : 710,888.28 = 189,744 : x
  2. Step 2: Convert to fraction form
    473,925.60/710,888.28 = 189,744/x
  3. Step 3: Cross multiply
    473,925.60x = 710,888.28 × 189,744
  4. Step 4: Simplify right side
    473,925.60x = 134,886,785,800.32
  5. Step 5: Solve for x
    x = 134,886,785,800.32/473,925.60
  6. Step 6: Final answer
    x = 284,615.95

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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.