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Finding the Fourth Proportional to 517,857.80, 778,536.30 and 440,875.40

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Solution

The fourth proportional to 517,857.80, 778,536.30 and 440,875.40 is: 662,802.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,857.80 : 778,536.30 = 440,875.40 : x
  2. Step 2: Convert to fraction form
    517,857.80/778,536.30 = 440,875.40/x
  3. Step 3: Cross multiply
    517,857.80x = 778,536.30 × 440,875.40
  4. Step 4: Simplify right side
    517,857.80x = 343,237,502,677.02
  5. Step 5: Solve for x
    x = 343,237,502,677.02/517,857.80
  6. Step 6: Final answer
    x = 662,802.61

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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.