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Finding the Fourth Proportional to 523,736.78, 785,461.80 and 144,566.87

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Solution

The fourth proportional to 523,736.78, 785,461.80 and 144,566.87 is: 216,810.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,736.78 : 785,461.80 = 144,566.87 : x
  2. Step 2: Convert to fraction form
    523,736.78/785,461.80 = 144,566.87/x
  3. Step 3: Cross multiply
    523,736.78x = 785,461.80 × 144,566.87
  4. Step 4: Simplify right side
    523,736.78x = 113,551,749,461.13
  5. Step 5: Solve for x
    x = 113,551,749,461.13/523,736.78
  6. Step 6: Final answer
    x = 216,810.72

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1.5x scale

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.