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Finding the Fourth Proportional to 584,021.34, 875,655.36 and 229,071.24

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Solution

The fourth proportional to 584,021.34, 875,655.36 and 229,071.24 is: 343,459.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,021.34 : 875,655.36 = 229,071.24 : x
  2. Step 2: Convert to fraction form
    584,021.34/875,655.36 = 229,071.24/x
  3. Step 3: Cross multiply
    584,021.34x = 875,655.36 × 229,071.24
  4. Step 4: Simplify right side
    584,021.34x = 200,587,459,127.85
  5. Step 5: Solve for x
    x = 200,587,459,127.85/584,021.34
  6. Step 6: Final answer
    x = 343,459.13

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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.