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Finding the Fourth Proportional to 612,205.80, 917,412.30 and 549,025.80

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Solution

The fourth proportional to 612,205.80, 917,412.30 and 549,025.80 is: 822,734.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,205.80 : 917,412.30 = 549,025.80 : x
  2. Step 2: Convert to fraction form
    612,205.80/917,412.30 = 549,025.80/x
  3. Step 3: Cross multiply
    612,205.80x = 917,412.30 × 549,025.80
  4. Step 4: Simplify right side
    612,205.80x = 503,683,021,937.34
  5. Step 5: Solve for x
    x = 503,683,021,937.34/612,205.80
  6. Step 6: Final answer
    x = 822,734.81

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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.