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Finding the Fourth Proportional to 464,552.07, 696,762.49 and 148,967.97

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Solution

The fourth proportional to 464,552.07, 696,762.49 and 148,967.97 is: 223,430.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,552.07 : 696,762.49 = 148,967.97 : x
  2. Step 2: Convert to fraction form
    464,552.07/696,762.49 = 148,967.97/x
  3. Step 3: Cross multiply
    464,552.07x = 696,762.49 × 148,967.97
  4. Step 4: Simplify right side
    464,552.07x = 103,795,293,707.45
  5. Step 5: Solve for x
    x = 103,795,293,707.45/464,552.07
  6. Step 6: Final answer
    x = 223,430.91

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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.