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Finding the Fourth Proportional to 652,242.65, 899,713.55 and 410,141.93

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Solution

The fourth proportional to 652,242.65, 899,713.55 and 410,141.93 is: 565,756.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,242.65 : 899,713.55 = 410,141.93 : x
  2. Step 2: Convert to fraction form
    652,242.65/899,713.55 = 410,141.93/x
  3. Step 3: Cross multiply
    652,242.65x = 899,713.55 × 410,141.93
  4. Step 4: Simplify right side
    652,242.65x = 369,010,248,370.94
  5. Step 5: Solve for x
    x = 369,010,248,370.94/652,242.65
  6. Step 6: Final answer
    x = 565,756.09

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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.