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Finding the Fourth Proportional to 823,038.13, 1,135,573.59 and 564,994

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Solution

The fourth proportional to 823,038.13, 1,135,573.59 and 564,994 is: 779,541.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    823,038.13 : 1,135,573.59 = 564,994 : x
  2. Step 2: Convert to fraction form
    823,038.13/1,135,573.59 = 564,994/x
  3. Step 3: Cross multiply
    823,038.13x = 1,135,573.59 × 564,994
  4. Step 4: Simplify right side
    823,038.13x = 641,592,264,908.46
  5. Step 5: Solve for x
    x = 641,592,264,908.46/823,038.13
  6. Step 6: Final answer
    x = 779,541.36

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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.