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Finding the Fourth Proportional to 477,907.42, 716,690.38 and 158,000.24

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Solution

The fourth proportional to 477,907.42, 716,690.38 and 158,000.24 is: 236,943.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,907.42 : 716,690.38 = 158,000.24 : x
  2. Step 2: Convert to fraction form
    477,907.42/716,690.38 = 158,000.24/x
  3. Step 3: Cross multiply
    477,907.42x = 716,690.38 × 158,000.24
  4. Step 4: Simplify right side
    477,907.42x = 113,237,252,045.69
  5. Step 5: Solve for x
    x = 113,237,252,045.69/477,907.42
  6. Step 6: Final answer
    x = 236,943.91

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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.