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Finding the Fourth Proportional to 297,284.16, 410,248.08 and 163,148.16

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Solution

The fourth proportional to 297,284.16, 410,248.08 and 163,148.16 is: 225,142.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,284.16 : 410,248.08 = 163,148.16 : x
  2. Step 2: Convert to fraction form
    297,284.16/410,248.08 = 163,148.16/x
  3. Step 3: Cross multiply
    297,284.16x = 410,248.08 × 163,148.16
  4. Step 4: Simplify right side
    297,284.16x = 66,931,219,395.53
  5. Step 5: Solve for x
    x = 66,931,219,395.53/297,284.16
  6. Step 6: Final answer
    x = 225,142.23

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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.