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Finding the Fourth Proportional to 296,303.50, 408,899.91 and 160,337.45

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Solution

The fourth proportional to 296,303.50, 408,899.91 and 160,337.45 is: 221,266.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,303.50 : 408,899.91 = 160,337.45 : x
  2. Step 2: Convert to fraction form
    296,303.50/408,899.91 = 160,337.45/x
  3. Step 3: Cross multiply
    296,303.50x = 408,899.91 × 160,337.45
  4. Step 4: Simplify right side
    296,303.50x = 65,561,966,830.13
  5. Step 5: Solve for x
    x = 65,561,966,830.13/296,303.50
  6. Step 6: Final answer
    x = 221,266.26

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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.