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Finding the Fourth Proportional to 633,029.28, 948,870.48 and 433,293.60

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Solution

The fourth proportional to 633,029.28, 948,870.48 and 433,293.60 is: 649,479.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,029.28 : 948,870.48 = 433,293.60 : x
  2. Step 2: Convert to fraction form
    633,029.28/948,870.48 = 433,293.60/x
  3. Step 3: Cross multiply
    633,029.28x = 948,870.48 × 433,293.60
  4. Step 4: Simplify right side
    633,029.28x = 411,139,506,212.93
  5. Step 5: Solve for x
    x = 411,139,506,212.93/633,029.28
  6. Step 6: Final answer
    x = 649,479.45

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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.