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Finding the Fourth Proportional to 602,214.36, 903,818.52 and 302,780.04

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Solution

The fourth proportional to 602,214.36, 903,818.52 and 302,780.04 is: 454,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,214.36 : 903,818.52 = 302,780.04 : x
  2. Step 2: Convert to fraction form
    602,214.36/903,818.52 = 302,780.04/x
  3. Step 3: Cross multiply
    602,214.36x = 903,818.52 × 302,780.04
  4. Step 4: Simplify right side
    602,214.36x = 273,658,207,638.34
  5. Step 5: Solve for x
    x = 273,658,207,638.34/602,214.36
  6. Step 6: Final answer
    x = 454,419.93

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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.