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Finding the Fourth Proportional to 577,431.84, 866,113.20 and 156,698.40

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Solution

The fourth proportional to 577,431.84, 866,113.20 and 156,698.40 is: 235,038.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    577,431.84 : 866,113.20 = 156,698.40 : x
  2. Step 2: Convert to fraction form
    577,431.84/866,113.20 = 156,698.40/x
  3. Step 3: Cross multiply
    577,431.84x = 866,113.20 × 156,698.40
  4. Step 4: Simplify right side
    577,431.84x = 135,718,552,658.88
  5. Step 5: Solve for x
    x = 135,718,552,658.88/577,431.84
  6. Step 6: Final answer
    x = 235,038.22

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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.