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Finding the Fourth Proportional to 333,708.12, 500,644.16 and 97,052.84

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Solution

The fourth proportional to 333,708.12, 500,644.16 and 97,052.84 is: 145,603.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,708.12 : 500,644.16 = 97,052.84 : x
  2. Step 2: Convert to fraction form
    333,708.12/500,644.16 = 97,052.84/x
  3. Step 3: Cross multiply
    333,708.12x = 500,644.16 × 97,052.84
  4. Step 4: Simplify right side
    333,708.12x = 48,588,937,557.41
  5. Step 5: Solve for x
    x = 48,588,937,557.41/333,708.12
  6. Step 6: Final answer
    x = 145,603.10

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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.