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Finding the Fourth Proportional to 357,776.28, 536,599.80 and 144,536.40

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Solution

The fourth proportional to 357,776.28, 536,599.80 and 144,536.40 is: 216,778.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,776.28 : 536,599.80 = 144,536.40 : x
  2. Step 2: Convert to fraction form
    357,776.28/536,599.80 = 144,536.40/x
  3. Step 3: Cross multiply
    357,776.28x = 536,599.80 × 144,536.40
  4. Step 4: Simplify right side
    357,776.28x = 77,558,203,332.72
  5. Step 5: Solve for x
    x = 77,558,203,332.72/357,776.28
  6. Step 6: Final answer
    x = 216,778.49

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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.