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Finding the Fourth Proportional to 761,096, 1,050,312.48 and 421,586.16

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Solution

The fourth proportional to 761,096, 1,050,312.48 and 421,586.16 is: 581,788.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,096 : 1,050,312.48 = 421,586.16 : x
  2. Step 2: Convert to fraction form
    761,096/1,050,312.48 = 421,586.16/x
  3. Step 3: Cross multiply
    761,096x = 1,050,312.48 × 421,586.16
  4. Step 4: Simplify right side
    761,096x = 442,797,205,243.28
  5. Step 5: Solve for x
    x = 442,797,205,243.28/761,096
  6. Step 6: Final answer
    x = 581,788.90

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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.