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Finding the Fourth Proportional to 473,870.48, 710,405.88 and 221,017.76

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Solution

The fourth proportional to 473,870.48, 710,405.88 and 221,017.76 is: 331,340.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,870.48 : 710,405.88 = 221,017.76 : x
  2. Step 2: Convert to fraction form
    473,870.48/710,405.88 = 221,017.76/x
  3. Step 3: Cross multiply
    473,870.48x = 710,405.88 × 221,017.76
  4. Step 4: Simplify right side
    473,870.48x = 157,012,316,288.43
  5. Step 5: Solve for x
    x = 157,012,316,288.43/473,870.48
  6. Step 6: Final answer
    x = 331,340.15

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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.