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Finding the Fourth Proportional to 1,041,978.84, 1,561,907.56 and 473,763.43

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Solution

The fourth proportional to 1,041,978.84, 1,561,907.56 and 473,763.43 is: 710,162.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,041,978.84 : 1,561,907.56 = 473,763.43 : x
  2. Step 2: Convert to fraction form
    1,041,978.84/1,561,907.56 = 473,763.43/x
  3. Step 3: Cross multiply
    1,041,978.84x = 1,561,907.56 × 473,763.43
  4. Step 4: Simplify right side
    1,041,978.84x = 739,974,684,624.81
  5. Step 5: Solve for x
    x = 739,974,684,624.81/1,041,978.84
  6. Step 6: Final answer
    x = 710,162.87

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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.