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Finding the Fourth Proportional to 468,413.70, 702,547.65 and 131,421.30

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Solution

The fourth proportional to 468,413.70, 702,547.65 and 131,421.30 is: 197,111.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,413.70 : 702,547.65 = 131,421.30 : x
  2. Step 2: Convert to fraction form
    468,413.70/702,547.65 = 131,421.30/x
  3. Step 3: Cross multiply
    468,413.70x = 702,547.65 × 131,421.30
  4. Step 4: Simplify right side
    468,413.70x = 92,329,725,474.95
  5. Step 5: Solve for x
    x = 92,329,725,474.95/468,413.70
  6. Step 6: Final answer
    x = 197,111.50

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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.