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Finding the Fourth Proportional to 462,734.30, 693,117.30 and 384,002.30

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Solution

The fourth proportional to 462,734.30, 693,117.30 and 384,002.30 is: 575,186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,734.30 : 693,117.30 = 384,002.30 : x
  2. Step 2: Convert to fraction form
    462,734.30/693,117.30 = 384,002.30/x
  3. Step 3: Cross multiply
    462,734.30x = 693,117.30 × 384,002.30
  4. Step 4: Simplify right side
    462,734.30x = 266,158,637,369.79
  5. Step 5: Solve for x
    x = 266,158,637,369.79/462,734.30
  6. Step 6: Final answer
    x = 575,186.75

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1.5x scale

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.