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Finding the Fourth Proportional to 838,402.56, 1,156,798.80 and 475,744.32

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Solution

The fourth proportional to 838,402.56, 1,156,798.80 and 475,744.32 is: 656,415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,402.56 : 1,156,798.80 = 475,744.32 : x
  2. Step 2: Convert to fraction form
    838,402.56/1,156,798.80 = 475,744.32/x
  3. Step 3: Cross multiply
    838,402.56x = 1,156,798.80 × 475,744.32
  4. Step 4: Simplify right side
    838,402.56x = 550,340,458,482.82
  5. Step 5: Solve for x
    x = 550,340,458,482.82/838,402.56
  6. Step 6: Final answer
    x = 656,415.53

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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.