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Finding the Fourth Proportional to 662,421, 914,143.14 and 360,617.16

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Solution

The fourth proportional to 662,421, 914,143.14 and 360,617.16 is: 497,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,421 : 914,143.14 = 360,617.16 : x
  2. Step 2: Convert to fraction form
    662,421/914,143.14 = 360,617.16/x
  3. Step 3: Cross multiply
    662,421x = 914,143.14 × 360,617.16
  4. Step 4: Simplify right side
    662,421x = 329,655,702,980.28
  5. Step 5: Solve for x
    x = 329,655,702,980.28/662,421
  6. Step 6: Final answer
    x = 497,652.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.