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Finding the Fourth Proportional to 476,523.47, 657,613.88 and 258,741.41

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Solution

The fourth proportional to 476,523.47, 657,613.88 and 258,741.41 is: 357,069.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,523.47 : 657,613.88 = 258,741.41 : x
  2. Step 2: Convert to fraction form
    476,523.47/657,613.88 = 258,741.41/x
  3. Step 3: Cross multiply
    476,523.47x = 657,613.88 × 258,741.41
  4. Step 4: Simplify right side
    476,523.47x = 170,151,937,964.99
  5. Step 5: Solve for x
    x = 170,151,937,964.99/476,523.47
  6. Step 6: Final answer
    x = 357,069.38

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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.