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Finding the Fourth Proportional to 369,912.34, 510,424.30 and 224,642.58

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Solution

The fourth proportional to 369,912.34, 510,424.30 and 224,642.58 is: 309,973.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,912.34 : 510,424.30 = 224,642.58 : x
  2. Step 2: Convert to fraction form
    369,912.34/510,424.30 = 224,642.58/x
  3. Step 3: Cross multiply
    369,912.34x = 510,424.30 × 224,642.58
  4. Step 4: Simplify right side
    369,912.34x = 114,663,031,646.69
  5. Step 5: Solve for x
    x = 114,663,031,646.69/369,912.34
  6. Step 6: Final answer
    x = 309,973.52

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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.