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Finding the Fourth Proportional to 265,210.35, 397,823.50 and 65,530.72

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Solution

The fourth proportional to 265,210.35, 397,823.50 and 65,530.72 is: 98,298.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,210.35 : 397,823.50 = 65,530.72 : x
  2. Step 2: Convert to fraction form
    265,210.35/397,823.50 = 65,530.72/x
  3. Step 3: Cross multiply
    265,210.35x = 397,823.50 × 65,530.72
  4. Step 4: Simplify right side
    265,210.35x = 26,069,660,967.11
  5. Step 5: Solve for x
    x = 26,069,660,967.11/265,210.35
  6. Step 6: Final answer
    x = 98,298.05

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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.