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Finding the Fourth Proportional to 411,094.12, 567,401.34 and 249,915

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Solution

The fourth proportional to 411,094.12, 567,401.34 and 249,915 is: 344,938.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,094.12 : 567,401.34 = 249,915 : x
  2. Step 2: Convert to fraction form
    411,094.12/567,401.34 = 249,915/x
  3. Step 3: Cross multiply
    411,094.12x = 567,401.34 × 249,915
  4. Step 4: Simplify right side
    411,094.12x = 141,802,105,886.10
  5. Step 5: Solve for x
    x = 141,802,105,886.10/411,094.12
  6. Step 6: Final answer
    x = 344,938.30

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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.