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Finding the Fourth Proportional to 549,020.60, 823,530.90 and 462,415.40

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Solution

The fourth proportional to 549,020.60, 823,530.90 and 462,415.40 is: 693,623.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,020.60 : 823,530.90 = 462,415.40 : x
  2. Step 2: Convert to fraction form
    549,020.60/823,530.90 = 462,415.40/x
  3. Step 3: Cross multiply
    549,020.60x = 823,530.90 × 462,415.40
  4. Step 4: Simplify right side
    549,020.60x = 380,813,370,535.86
  5. Step 5: Solve for x
    x = 380,813,370,535.86/549,020.60
  6. Step 6: Final answer
    x = 693,623.10

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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.