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Finding the Fourth Proportional to 773,905, 1,160,857.32 and 507,604

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Solution

The fourth proportional to 773,905, 1,160,857.32 and 507,604 is: 761,405.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,905 : 1,160,857.32 = 507,604 : x
  2. Step 2: Convert to fraction form
    773,905/1,160,857.32 = 507,604/x
  3. Step 3: Cross multiply
    773,905x = 1,160,857.32 × 507,604
  4. Step 4: Simplify right side
    773,905x = 589,255,819,061.28
  5. Step 5: Solve for x
    x = 589,255,819,061.28/773,905
  6. Step 6: Final answer
    x = 761,405.88

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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.