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Finding the Fourth Proportional to 513,683.04, 708,914.16 and 287,343.84

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Solution

The fourth proportional to 513,683.04, 708,914.16 and 287,343.84 is: 396,552.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,683.04 : 708,914.16 = 287,343.84 : x
  2. Step 2: Convert to fraction form
    513,683.04/708,914.16 = 287,343.84/x
  3. Step 3: Cross multiply
    513,683.04x = 708,914.16 × 287,343.84
  4. Step 4: Simplify right side
    513,683.04x = 203,702,116,964.77
  5. Step 5: Solve for x
    x = 203,702,116,964.77/513,683.04
  6. Step 6: Final answer
    x = 396,552.16

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1.5x scale

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.