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Finding the Fourth Proportional to 601,694.87, 829,860.59 and 511,349.90

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Solution

The fourth proportional to 601,694.87, 829,860.59 and 511,349.90 is: 705,256.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,694.87 : 829,860.59 = 511,349.90 : x
  2. Step 2: Convert to fraction form
    601,694.87/829,860.59 = 511,349.90/x
  3. Step 3: Cross multiply
    601,694.87x = 829,860.59 × 511,349.90
  4. Step 4: Simplify right side
    601,694.87x = 424,349,126,839.51
  5. Step 5: Solve for x
    x = 424,349,126,839.51/601,694.87
  6. Step 6: Final answer
    x = 705,256.35

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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.