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Finding the Fourth Proportional to 705,927.90, 974,217.84 and 400,063.80

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Solution

The fourth proportional to 705,927.90, 974,217.84 and 400,063.80 is: 552,109.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,927.90 : 974,217.84 = 400,063.80 : x
  2. Step 2: Convert to fraction form
    705,927.90/974,217.84 = 400,063.80/x
  3. Step 3: Cross multiply
    705,927.90x = 974,217.84 × 400,063.80
  4. Step 4: Simplify right side
    705,927.90x = 389,749,291,098.19
  5. Step 5: Solve for x
    x = 389,749,291,098.19/705,927.90
  6. Step 6: Final answer
    x = 552,109.20

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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.