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Finding the Fourth Proportional to 294,595.50, 406,541.80 and 160,459.50

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Solution

The fourth proportional to 294,595.50, 406,541.80 and 160,459.50 is: 221,434.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,595.50 : 406,541.80 = 160,459.50 : x
  2. Step 2: Convert to fraction form
    294,595.50/406,541.80 = 160,459.50/x
  3. Step 3: Cross multiply
    294,595.50x = 406,541.80 × 160,459.50
  4. Step 4: Simplify right side
    294,595.50x = 65,233,493,957.10
  5. Step 5: Solve for x
    x = 65,233,493,957.10/294,595.50
  6. Step 6: Final answer
    x = 221,434.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.