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Finding the Fourth Proportional to 611,132.16, 917,598.11 and 341,788

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Solution

The fourth proportional to 611,132.16, 917,598.11 and 341,788 is: 513,185.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,132.16 : 917,598.11 = 341,788 : x
  2. Step 2: Convert to fraction form
    611,132.16/917,598.11 = 341,788/x
  3. Step 3: Cross multiply
    611,132.16x = 917,598.11 × 341,788
  4. Step 4: Simplify right side
    611,132.16x = 313,624,021,111.74
  5. Step 5: Solve for x
    x = 313,624,021,111.74/611,132.16
  6. Step 6: Final answer
    x = 513,185.27

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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.