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Finding the Fourth Proportional to 296,352, 444,567.06 and 96,602.40

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Solution

The fourth proportional to 296,352, 444,567.06 and 96,602.40 is: 144,916.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,352 : 444,567.06 = 96,602.40 : x
  2. Step 2: Convert to fraction form
    296,352/444,567.06 = 96,602.40/x
  3. Step 3: Cross multiply
    296,352x = 444,567.06 × 96,602.40
  4. Step 4: Simplify right side
    296,352x = 42,946,244,956.94
  5. Step 5: Solve for x
    x = 42,946,244,956.94/296,352
  6. Step 6: Final answer
    x = 144,916.33

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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.