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Finding the Fourth Proportional to 1,024,838, 1,414,169 and 595,034.16

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Solution

The fourth proportional to 1,024,838, 1,414,169 and 595,034.16 is: 821,084.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,838 : 1,414,169 = 595,034.16 : x
  2. Step 2: Convert to fraction form
    1,024,838/1,414,169 = 595,034.16/x
  3. Step 3: Cross multiply
    1,024,838x = 1,414,169 × 595,034.16
  4. Step 4: Simplify right side
    1,024,838x = 841,478,863,013.04
  5. Step 5: Solve for x
    x = 841,478,863,013.04/1,024,838
  6. Step 6: Final answer
    x = 821,084.76

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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.