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Finding the Fourth Proportional to 460,699.38, 635,474.16 and 317,210.22

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Solution

The fourth proportional to 460,699.38, 635,474.16 and 317,210.22 is: 437,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,699.38 : 635,474.16 = 317,210.22 : x
  2. Step 2: Convert to fraction form
    460,699.38/635,474.16 = 317,210.22/x
  3. Step 3: Cross multiply
    460,699.38x = 635,474.16 × 317,210.22
  4. Step 4: Simplify right side
    460,699.38x = 201,578,898,097.92
  5. Step 5: Solve for x
    x = 201,578,898,097.92/460,699.38
  6. Step 6: Final answer
    x = 437,549.75

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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.