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Finding the Fourth Proportional to 467,722.60, 700,547.10 and 362,199.40

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Solution

The fourth proportional to 467,722.60, 700,547.10 and 362,199.40 is: 542,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,722.60 : 700,547.10 = 362,199.40 : x
  2. Step 2: Convert to fraction form
    467,722.60/700,547.10 = 362,199.40/x
  3. Step 3: Cross multiply
    467,722.60x = 700,547.10 × 362,199.40
  4. Step 4: Simplify right side
    467,722.60x = 253,737,739,291.74
  5. Step 5: Solve for x
    x = 253,737,739,291.74/467,722.60
  6. Step 6: Final answer
    x = 542,496.21

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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.