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Finding the Fourth Proportional to 651,776.42, 977,665.44 and 178,465.88

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Solution

The fourth proportional to 651,776.42, 977,665.44 and 178,465.88 is: 267,699.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,776.42 : 977,665.44 = 178,465.88 : x
  2. Step 2: Convert to fraction form
    651,776.42/977,665.44 = 178,465.88/x
  3. Step 3: Cross multiply
    651,776.42x = 977,665.44 × 178,465.88
  4. Step 4: Simplify right side
    651,776.42x = 174,479,923,095.19
  5. Step 5: Solve for x
    x = 174,479,923,095.19/651,776.42
  6. Step 6: Final answer
    x = 267,699.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.