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Finding the Fourth Proportional to 778,798.16, 1,075,228 and 597,161.16

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Solution

The fourth proportional to 778,798.16, 1,075,228 and 597,161.16 is: 824,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,798.16 : 1,075,228 = 597,161.16 : x
  2. Step 2: Convert to fraction form
    778,798.16/1,075,228 = 597,161.16/x
  3. Step 3: Cross multiply
    778,798.16x = 1,075,228 × 597,161.16
  4. Step 4: Simplify right side
    778,798.16x = 642,084,399,744.48
  5. Step 5: Solve for x
    x = 642,084,399,744.48/778,798.16
  6. Step 6: Final answer
    x = 824,455.47

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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.