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Finding the Fourth Proportional to 385,364.16, 577,955.48 and 216,957.60

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Solution

The fourth proportional to 385,364.16, 577,955.48 and 216,957.60 is: 325,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,364.16 : 577,955.48 = 216,957.60 : x
  2. Step 2: Convert to fraction form
    385,364.16/577,955.48 = 216,957.60/x
  3. Step 3: Cross multiply
    385,364.16x = 577,955.48 × 216,957.60
  4. Step 4: Simplify right side
    385,364.16x = 125,391,833,847.65
  5. Step 5: Solve for x
    x = 125,391,833,847.65/385,364.16
  6. Step 6: Final answer
    x = 325,385.30

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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.