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Finding the Fourth Proportional to 468,501.74, 702,303.67 and 198,258.13

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Solution

The fourth proportional to 468,501.74, 702,303.67 and 198,258.13 is: 297,197.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,501.74 : 702,303.67 = 198,258.13 : x
  2. Step 2: Convert to fraction form
    468,501.74/702,303.67 = 198,258.13/x
  3. Step 3: Cross multiply
    468,501.74x = 702,303.67 × 198,258.13
  4. Step 4: Simplify right side
    468,501.74x = 139,237,412,306.34
  5. Step 5: Solve for x
    x = 139,237,412,306.34/468,501.74
  6. Step 6: Final answer
    x = 297,197.21

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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.