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Finding the Fourth Proportional to 473,927.40, 710,891.10 and 470,974.95

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Solution

The fourth proportional to 473,927.40, 710,891.10 and 470,974.95 is: 706,462.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,927.40 : 710,891.10 = 470,974.95 : x
  2. Step 2: Convert to fraction form
    473,927.40/710,891.10 = 470,974.95/x
  3. Step 3: Cross multiply
    473,927.40x = 710,891.10 × 470,974.95
  4. Step 4: Simplify right side
    473,927.40x = 334,811,900,277.95
  5. Step 5: Solve for x
    x = 334,811,900,277.95/473,927.40
  6. Step 6: Final answer
    x = 706,462.43

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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.