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Finding the Fourth Proportional to 341,964.77, 510,443.15 and 301,564.26

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Solution

The fourth proportional to 341,964.77, 510,443.15 and 301,564.26 is: 450,138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,964.77 : 510,443.15 = 301,564.26 : x
  2. Step 2: Convert to fraction form
    341,964.77/510,443.15 = 301,564.26/x
  3. Step 3: Cross multiply
    341,964.77x = 510,443.15 × 301,564.26
  4. Step 4: Simplify right side
    341,964.77x = 153,931,409,294.00
  5. Step 5: Solve for x
    x = 153,931,409,294.00/341,964.77
  6. Step 6: Final answer
    x = 450,138.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.