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Finding the Fourth Proportional to 753,007, 1,039,156.95 and 413,482.54

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Solution

The fourth proportional to 753,007, 1,039,156.95 and 413,482.54 is: 570,609.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    753,007 : 1,039,156.95 = 413,482.54 : x
  2. Step 2: Convert to fraction form
    753,007/1,039,156.95 = 413,482.54/x
  3. Step 3: Cross multiply
    753,007x = 1,039,156.95 × 413,482.54
  4. Step 4: Simplify right side
    753,007x = 429,673,255,144.65
  5. Step 5: Solve for x
    x = 429,673,255,144.65/753,007
  6. Step 6: Final answer
    x = 570,609.91

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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.