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Finding the Fourth Proportional to 468,259.83, 702,368.67 and 152,719.47

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Solution

The fourth proportional to 468,259.83, 702,368.67 and 152,719.47 is: 229,072.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,259.83 : 702,368.67 = 152,719.47 : x
  2. Step 2: Convert to fraction form
    468,259.83/702,368.67 = 152,719.47/x
  3. Step 3: Cross multiply
    468,259.83x = 702,368.67 × 152,719.47
  4. Step 4: Simplify right side
    468,259.83x = 107,265,371,027.01
  5. Step 5: Solve for x
    x = 107,265,371,027.01/468,259.83
  6. Step 6: Final answer
    x = 229,072.33

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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.