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Finding the Fourth Proportional to 294,560.13, 406,492.98 and 160,424.13

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Solution

The fourth proportional to 294,560.13, 406,492.98 and 160,424.13 is: 221,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,560.13 : 406,492.98 = 160,424.13 : x
  2. Step 2: Convert to fraction form
    294,560.13/406,492.98 = 160,424.13/x
  3. Step 3: Cross multiply
    294,560.13x = 406,492.98 × 160,424.13
  4. Step 4: Simplify right side
    294,560.13x = 65,211,282,667.61
  5. Step 5: Solve for x
    x = 65,211,282,667.61/294,560.13
  6. Step 6: Final answer
    x = 221,385.30

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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.