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Finding the Fourth Proportional to 601,459.16, 830,013.62 and 329,537.35

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Solution

The fourth proportional to 601,459.16, 830,013.62 and 329,537.35 is: 454,761.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,459.16 : 830,013.62 = 329,537.35 : x
  2. Step 2: Convert to fraction form
    601,459.16/830,013.62 = 329,537.35/x
  3. Step 3: Cross multiply
    601,459.16x = 830,013.62 × 329,537.35
  4. Step 4: Simplify right side
    601,459.16x = 273,520,488,798.71
  5. Step 5: Solve for x
    x = 273,520,488,798.71/601,459.16
  6. Step 6: Final answer
    x = 454,761.53

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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.