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Finding the Fourth Proportional to 461,616.51, 692,317.85 and 146,014.59

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Solution

The fourth proportional to 461,616.51, 692,317.85 and 146,014.59 is: 218,988.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,616.51 : 692,317.85 = 146,014.59 : x
  2. Step 2: Convert to fraction form
    461,616.51/692,317.85 = 146,014.59/x
  3. Step 3: Cross multiply
    461,616.51x = 692,317.85 × 146,014.59
  4. Step 4: Simplify right side
    461,616.51x = 101,088,506,287.36
  5. Step 5: Solve for x
    x = 101,088,506,287.36/461,616.51
  6. Step 6: Final answer
    x = 218,988.06

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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.