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Finding the Fourth Proportional to 312,594.49, 468,842.63 and 99,334.32

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Solution

The fourth proportional to 312,594.49, 468,842.63 and 99,334.32 is: 148,985.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,594.49 : 468,842.63 = 99,334.32 : x
  2. Step 2: Convert to fraction form
    312,594.49/468,842.63 = 99,334.32/x
  3. Step 3: Cross multiply
    312,594.49x = 468,842.63 × 99,334.32
  4. Step 4: Simplify right side
    312,594.49x = 46,572,163,838.06
  5. Step 5: Solve for x
    x = 46,572,163,838.06/312,594.49
  6. Step 6: Final answer
    x = 148,985.88

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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.