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Finding the Fourth Proportional to 600,643.62, 829,072.71 and 346,164.30

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Solution

The fourth proportional to 600,643.62, 829,072.71 and 346,164.30 is: 477,813.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,643.62 : 829,072.71 = 346,164.30 : x
  2. Step 2: Convert to fraction form
    600,643.62/829,072.71 = 346,164.30/x
  3. Step 3: Cross multiply
    600,643.62x = 829,072.71 × 346,164.30
  4. Step 4: Simplify right side
    600,643.62x = 286,995,374,306.25
  5. Step 5: Solve for x
    x = 286,995,374,306.25/600,643.62
  6. Step 6: Final answer
    x = 477,813.07

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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.