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Finding the Fourth Proportional to 294,559.75, 406,492.46 and 160,423.75

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Solution

The fourth proportional to 294,559.75, 406,492.46 and 160,423.75 is: 221,384.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,559.75 : 406,492.46 = 160,423.75 : x
  2. Step 2: Convert to fraction form
    294,559.75/406,492.46 = 160,423.75/x
  3. Step 3: Cross multiply
    294,559.75x = 406,492.46 × 160,423.75
  4. Step 4: Simplify right side
    294,559.75x = 65,211,044,779.93
  5. Step 5: Solve for x
    x = 65,211,044,779.93/294,559.75
  6. Step 6: Final answer
    x = 221,384.78

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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.