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Finding the Fourth Proportional to 616,038.98, 923,518.58 and 296,031.46

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Solution

The fourth proportional to 616,038.98, 923,518.58 and 296,031.46 is: 443,787.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,038.98 : 923,518.58 = 296,031.46 : x
  2. Step 2: Convert to fraction form
    616,038.98/923,518.58 = 296,031.46/x
  3. Step 3: Cross multiply
    616,038.98x = 923,518.58 × 296,031.46
  4. Step 4: Simplify right side
    616,038.98x = 273,390,553,574.53
  5. Step 5: Solve for x
    x = 273,390,553,574.53/616,038.98
  6. Step 6: Final answer
    x = 443,787.75

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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.