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Finding the Fourth Proportional to 602,448.48, 903,119.76 and 208,188

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Solution

The fourth proportional to 602,448.48, 903,119.76 and 208,188 is: 312,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,448.48 : 903,119.76 = 208,188 : x
  2. Step 2: Convert to fraction form
    602,448.48/903,119.76 = 208,188/x
  3. Step 3: Cross multiply
    602,448.48x = 903,119.76 × 208,188
  4. Step 4: Simplify right side
    602,448.48x = 188,018,696,594.88
  5. Step 5: Solve for x
    x = 188,018,696,594.88/602,448.48
  6. Step 6: Final answer
    x = 312,090.91

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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.