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Finding the Fourth Proportional to 464,901.68, 697,081.53 and 180,259.68

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Solution

The fourth proportional to 464,901.68, 697,081.53 and 180,259.68 is: 270,284.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,901.68 : 697,081.53 = 180,259.68 : x
  2. Step 2: Convert to fraction form
    464,901.68/697,081.53 = 180,259.68/x
  3. Step 3: Cross multiply
    464,901.68x = 697,081.53 × 180,259.68
  4. Step 4: Simplify right side
    464,901.68x = 125,655,693,531.71
  5. Step 5: Solve for x
    x = 125,655,693,531.71/464,901.68
  6. Step 6: Final answer
    x = 270,284.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.