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Finding the Fourth Proportional to 600,645.12, 829,074.78 and 346,165.80

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Solution

The fourth proportional to 600,645.12, 829,074.78 and 346,165.80 is: 477,815.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,645.12 : 829,074.78 = 346,165.80 : x
  2. Step 2: Convert to fraction form
    600,645.12/829,074.78 = 346,165.80/x
  3. Step 3: Cross multiply
    600,645.12x = 829,074.78 × 346,165.80
  4. Step 4: Simplify right side
    600,645.12x = 286,997,334,478.52
  5. Step 5: Solve for x
    x = 286,997,334,478.52/600,645.12
  6. Step 6: Final answer
    x = 477,815.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.