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Finding the Fourth Proportional to 430,642.38, 593,670.60 and 302,921.58

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Solution

The fourth proportional to 430,642.38, 593,670.60 and 302,921.58 is: 417,598.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,642.38 : 593,670.60 = 302,921.58 : x
  2. Step 2: Convert to fraction form
    430,642.38/593,670.60 = 302,921.58/x
  3. Step 3: Cross multiply
    430,642.38x = 593,670.60 × 302,921.58
  4. Step 4: Simplify right side
    430,642.38x = 179,835,636,151.55
  5. Step 5: Solve for x
    x = 179,835,636,151.55/430,642.38
  6. Step 6: Final answer
    x = 417,598.56

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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.