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Finding the Fourth Proportional to 353,751.04, 488,165.16 and 210,478.24

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Solution

The fourth proportional to 353,751.04, 488,165.16 and 210,478.24 is: 290,453.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    353,751.04 : 488,165.16 = 210,478.24 : x
  2. Step 2: Convert to fraction form
    353,751.04/488,165.16 = 210,478.24/x
  3. Step 3: Cross multiply
    353,751.04x = 488,165.16 × 210,478.24
  4. Step 4: Simplify right side
    353,751.04x = 102,748,143,706.12
  5. Step 5: Solve for x
    x = 102,748,143,706.12/353,751.04
  6. Step 6: Final answer
    x = 290,453.26

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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.