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Finding the Fourth Proportional to 761,083, 1,050,294.54 and 421,573.12

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Solution

The fourth proportional to 761,083, 1,050,294.54 and 421,573.12 is: 581,770.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,083 : 1,050,294.54 = 421,573.12 : x
  2. Step 2: Convert to fraction form
    761,083/1,050,294.54 = 421,573.12/x
  3. Step 3: Cross multiply
    761,083x = 1,050,294.54 × 421,573.12
  4. Step 4: Simplify right side
    761,083x = 442,775,946,146.77
  5. Step 5: Solve for x
    x = 442,775,946,146.77/761,083
  6. Step 6: Final answer
    x = 581,770.91

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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.