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Finding the Fourth Proportional to 475,875.80, 656,697.34 and 261,013.98

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Solution

The fourth proportional to 475,875.80, 656,697.34 and 261,013.98 is: 360,193.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,875.80 : 656,697.34 = 261,013.98 : x
  2. Step 2: Convert to fraction form
    475,875.80/656,697.34 = 261,013.98/x
  3. Step 3: Cross multiply
    475,875.80x = 656,697.34 × 261,013.98
  4. Step 4: Simplify right side
    475,875.80x = 171,407,186,368.81
  5. Step 5: Solve for x
    x = 171,407,186,368.81/475,875.80
  6. Step 6: Final answer
    x = 360,193.11

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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.