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Finding the Fourth Proportional to 586,953.88, 878,924.26 and 406,782.52

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Solution

The fourth proportional to 586,953.88, 878,924.26 and 406,782.52 is: 609,129.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,953.88 : 878,924.26 = 406,782.52 : x
  2. Step 2: Convert to fraction form
    586,953.88/878,924.26 = 406,782.52/x
  3. Step 3: Cross multiply
    586,953.88x = 878,924.26 × 406,782.52
  4. Step 4: Simplify right side
    586,953.88x = 357,531,025,371.94
  5. Step 5: Solve for x
    x = 357,531,025,371.94/586,953.88
  6. Step 6: Final answer
    x = 609,129.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.