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Finding the Fourth Proportional to 705,829.46, 974,042.08 and 399,964.06

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Solution

The fourth proportional to 705,829.46, 974,042.08 and 399,964.06 is: 551,948.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,829.46 : 974,042.08 = 399,964.06 : x
  2. Step 2: Convert to fraction form
    705,829.46/974,042.08 = 399,964.06/x
  3. Step 3: Cross multiply
    705,829.46x = 974,042.08 × 399,964.06
  4. Step 4: Simplify right side
    705,829.46x = 389,581,824,927.65
  5. Step 5: Solve for x
    x = 389,581,824,927.65/705,829.46
  6. Step 6: Final answer
    x = 551,948.94

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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.