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Finding the Fourth Proportional to 761,257.63, 1,050,535 and 417,115.86

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Solution

The fourth proportional to 761,257.63, 1,050,535 and 417,115.86 is: 575,619.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    761,257.63 : 1,050,535 = 417,115.86 : x
  2. Step 2: Convert to fraction form
    761,257.63/1,050,535 = 417,115.86/x
  3. Step 3: Cross multiply
    761,257.63x = 1,050,535 × 417,115.86
  4. Step 4: Simplify right side
    761,257.63x = 438,194,809,985.10
  5. Step 5: Solve for x
    x = 438,194,809,985.10/761,257.63
  6. Step 6: Final answer
    x = 575,619.60

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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.