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Finding the Fourth Proportional to 601,123.64, 829,627.38 and 346,476.65

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Solution

The fourth proportional to 601,123.64, 829,627.38 and 346,476.65 is: 478,182.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,123.64 : 829,627.38 = 346,476.65 : x
  2. Step 2: Convert to fraction form
    601,123.64/829,627.38 = 346,476.65/x
  3. Step 3: Cross multiply
    601,123.64x = 829,627.38 × 346,476.65
  4. Step 4: Simplify right side
    601,123.64x = 287,446,511,222.54
  5. Step 5: Solve for x
    x = 287,446,511,222.54/601,123.64
  6. Step 6: Final answer
    x = 478,182.02

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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.