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Finding the Fourth Proportional to 779,598, 1,169,397.05 and 188,622

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Solution

The fourth proportional to 779,598, 1,169,397.05 and 188,622 is: 282,933.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    779,598 : 1,169,397.05 = 188,622 : x
  2. Step 2: Convert to fraction form
    779,598/1,169,397.05 = 188,622/x
  3. Step 3: Cross multiply
    779,598x = 1,169,397.05 × 188,622
  4. Step 4: Simplify right side
    779,598x = 220,574,009,421.99
  5. Step 5: Solve for x
    x = 220,574,009,421.99/779,598
  6. Step 6: Final answer
    x = 282,933.01

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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.