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Finding the Fourth Proportional to 355,104.60, 532,656.90 and 299,117.40

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Solution

The fourth proportional to 355,104.60, 532,656.90 and 299,117.40 is: 448,676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,104.60 : 532,656.90 = 299,117.40 : x
  2. Step 2: Convert to fraction form
    355,104.60/532,656.90 = 299,117.40/x
  3. Step 3: Cross multiply
    355,104.60x = 532,656.90 × 299,117.40
  4. Step 4: Simplify right side
    355,104.60x = 159,326,947,020.06
  5. Step 5: Solve for x
    x = 159,326,947,020.06/355,104.60
  6. Step 6: Final answer
    x = 448,676.10

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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.