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Finding the Fourth Proportional to 602,484.48, 903,173.76 and 208,224

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Solution

The fourth proportional to 602,484.48, 903,173.76 and 208,224 is: 312,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,484.48 : 903,173.76 = 208,224 : x
  2. Step 2: Convert to fraction form
    602,484.48/903,173.76 = 208,224/x
  3. Step 3: Cross multiply
    602,484.48x = 903,173.76 × 208,224
  4. Step 4: Simplify right side
    602,484.48x = 188,062,453,002.24
  5. Step 5: Solve for x
    x = 188,062,453,002.24/602,484.48
  6. Step 6: Final answer
    x = 312,144.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.