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Finding the Fourth Proportional to 475,678.50, 656,376.18 and 260,762.01

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Solution

The fourth proportional to 475,678.50, 656,376.18 and 260,762.01 is: 359,818.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,678.50 : 656,376.18 = 260,762.01 : x
  2. Step 2: Convert to fraction form
    475,678.50/656,376.18 = 260,762.01/x
  3. Step 3: Cross multiply
    475,678.50x = 656,376.18 × 260,762.01
  4. Step 4: Simplify right side
    475,678.50x = 171,157,972,012.92
  5. Step 5: Solve for x
    x = 171,157,972,012.92/475,678.50
  6. Step 6: Final answer
    x = 359,818.60

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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.