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Finding the Fourth Proportional to 761,218.91, 1,050,482.91 and 412,360.13

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Solution

The fourth proportional to 761,218.91, 1,050,482.91 and 412,360.13 is: 569,057.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,218.91 : 1,050,482.91 = 412,360.13 : x
  2. Step 2: Convert to fraction form
    761,218.91/1,050,482.91 = 412,360.13/x
  3. Step 3: Cross multiply
    761,218.91x = 1,050,482.91 × 412,360.13
  4. Step 4: Simplify right side
    761,218.91x = 433,177,269,330.38
  5. Step 5: Solve for x
    x = 433,177,269,330.38/761,218.91
  6. Step 6: Final answer
    x = 569,057.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.