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Finding the Fourth Proportional to 294,864.54, 406,900.18 and 180,335.40

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Solution

The fourth proportional to 294,864.54, 406,900.18 and 180,335.40 is: 248,854.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,864.54 : 406,900.18 = 180,335.40 : x
  2. Step 2: Convert to fraction form
    294,864.54/406,900.18 = 180,335.40/x
  3. Step 3: Cross multiply
    294,864.54x = 406,900.18 × 180,335.40
  4. Step 4: Simplify right side
    294,864.54x = 73,378,506,720.37
  5. Step 5: Solve for x
    x = 73,378,506,720.37/294,864.54
  6. Step 6: Final answer
    x = 248,854.97

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1.5x scale

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.