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Finding the Fourth Proportional to 600,642.12, 829,070.64 and 346,162.80

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Solution

The fourth proportional to 600,642.12, 829,070.64 and 346,162.80 is: 477,811.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,642.12 : 829,070.64 = 346,162.80 : x
  2. Step 2: Convert to fraction form
    600,642.12/829,070.64 = 346,162.80/x
  3. Step 3: Cross multiply
    600,642.12x = 829,070.64 × 346,162.80
  4. Step 4: Simplify right side
    600,642.12x = 286,993,414,140.19
  5. Step 5: Solve for x
    x = 286,993,414,140.19/600,642.12
  6. Step 6: Final answer
    x = 477,811.00

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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.