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Finding the Fourth Proportional to 298,545.16, 411,988.22 and 169,482.50

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Solution

The fourth proportional to 298,545.16, 411,988.22 and 169,482.50 is: 233,883.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,545.16 : 411,988.22 = 169,482.50 : x
  2. Step 2: Convert to fraction form
    298,545.16/411,988.22 = 169,482.50/x
  3. Step 3: Cross multiply
    298,545.16x = 411,988.22 × 169,482.50
  4. Step 4: Simplify right side
    298,545.16x = 69,824,792,648.74
  5. Step 5: Solve for x
    x = 69,824,792,648.74/298,545.16
  6. Step 6: Final answer
    x = 233,883.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.