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Finding the Fourth Proportional to 1,411,967.22, 1,948,527.54 and 767,388.93

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Solution

The fourth proportional to 1,411,967.22, 1,948,527.54 and 767,388.93 is: 1,059,003.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,411,967.22 : 1,948,527.54 = 767,388.93 : x
  2. Step 2: Convert to fraction form
    1,411,967.22/1,948,527.54 = 767,388.93/x
  3. Step 3: Cross multiply
    1,411,967.22x = 1,948,527.54 × 767,388.93
  4. Step 4: Simplify right side
    1,411,967.22x = 1,495,278,463,996.13
  5. Step 5: Solve for x
    x = 1,495,278,463,996.13/1,411,967.22
  6. Step 6: Final answer
    x = 1,059,003.67

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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.