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Finding the Fourth Proportional to 497,315.80, 746,070.90 and 213,005.80

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Solution

The fourth proportional to 497,315.80, 746,070.90 and 213,005.80 is: 319,550.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,315.80 : 746,070.90 = 213,005.80 : x
  2. Step 2: Convert to fraction form
    497,315.80/746,070.90 = 213,005.80/x
  3. Step 3: Cross multiply
    497,315.80x = 746,070.90 × 213,005.80
  4. Step 4: Simplify right side
    497,315.80x = 158,917,428,911.22
  5. Step 5: Solve for x
    x = 158,917,428,911.22/497,315.80
  6. Step 6: Final answer
    x = 319,550.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.