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Finding the Fourth Proportional to 509,941.80, 765,131.40 and 260,623.80

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Solution

The fourth proportional to 509,941.80, 765,131.40 and 260,623.80 is: 391,047.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,941.80 : 765,131.40 = 260,623.80 : x
  2. Step 2: Convert to fraction form
    509,941.80/765,131.40 = 260,623.80/x
  3. Step 3: Cross multiply
    509,941.80x = 765,131.40 × 260,623.80
  4. Step 4: Simplify right side
    509,941.80x = 199,411,452,967.32
  5. Step 5: Solve for x
    x = 199,411,452,967.32/509,941.80
  6. Step 6: Final answer
    x = 391,047.47

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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.