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Finding the Fourth Proportional to 469,070.29, 647,386.47 and 297,004.24

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Solution

The fourth proportional to 469,070.29, 647,386.47 and 297,004.24 is: 409,909.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,070.29 : 647,386.47 = 297,004.24 : x
  2. Step 2: Convert to fraction form
    469,070.29/647,386.47 = 297,004.24/x
  3. Step 3: Cross multiply
    469,070.29x = 647,386.47 × 297,004.24
  4. Step 4: Simplify right side
    469,070.29x = 192,276,526,508.63
  5. Step 5: Solve for x
    x = 192,276,526,508.63/469,070.29
  6. Step 6: Final answer
    x = 409,909.84

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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.