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Finding the Fourth Proportional to 473,697.30, 710,200.35 and 193,070.10

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Solution

The fourth proportional to 473,697.30, 710,200.35 and 193,070.10 is: 289,464.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,697.30 : 710,200.35 = 193,070.10 : x
  2. Step 2: Convert to fraction form
    473,697.30/710,200.35 = 193,070.10/x
  3. Step 3: Cross multiply
    473,697.30x = 710,200.35 × 193,070.10
  4. Step 4: Simplify right side
    473,697.30x = 137,118,452,594.54
  5. Step 5: Solve for x
    x = 137,118,452,594.54/473,697.30
  6. Step 6: Final answer
    x = 289,464.29

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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.