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Finding the Fourth Proportional to 587,461.34, 881,012.61 and 406,256.93

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Solution

The fourth proportional to 587,461.34, 881,012.61 and 406,256.93 is: 609,261.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    587,461.34 : 881,012.61 = 406,256.93 : x
  2. Step 2: Convert to fraction form
    587,461.34/881,012.61 = 406,256.93/x
  3. Step 3: Cross multiply
    587,461.34x = 881,012.61 × 406,256.93
  4. Step 4: Simplify right side
    587,461.34x = 357,917,473,824.82
  5. Step 5: Solve for x
    x = 357,917,473,824.82/587,461.34
  6. Step 6: Final answer
    x = 609,261.33

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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.