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Finding the Fourth Proportional to 410,038.65, 565,853.58 and 228,750.57

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Solution

The fourth proportional to 410,038.65, 565,853.58 and 228,750.57 is: 315,675.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,038.65 : 565,853.58 = 228,750.57 : x
  2. Step 2: Convert to fraction form
    410,038.65/565,853.58 = 228,750.57/x
  3. Step 3: Cross multiply
    410,038.65x = 565,853.58 × 228,750.57
  4. Step 4: Simplify right side
    410,038.65x = 129,439,328,961.54
  5. Step 5: Solve for x
    x = 129,439,328,961.54/410,038.65
  6. Step 6: Final answer
    x = 315,675.92

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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.