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Finding the Fourth Proportional to 369,851.08, 510,394.08 and 200,085.16

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Solution

The fourth proportional to 369,851.08, 510,394.08 and 200,085.16 is: 276,117.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,851.08 : 510,394.08 = 200,085.16 : x
  2. Step 2: Convert to fraction form
    369,851.08/510,394.08 = 200,085.16/x
  3. Step 3: Cross multiply
    369,851.08x = 510,394.08 × 200,085.16
  4. Step 4: Simplify right side
    369,851.08x = 102,122,281,159.85
  5. Step 5: Solve for x
    x = 102,122,281,159.85/369,851.08
  6. Step 6: Final answer
    x = 276,117.30

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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.