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Finding the Fourth Proportional to 497,034.83, 685,875.44 and 293,075.89

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Solution

The fourth proportional to 497,034.83, 685,875.44 and 293,075.89 is: 404,425.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,034.83 : 685,875.44 = 293,075.89 : x
  2. Step 2: Convert to fraction form
    497,034.83/685,875.44 = 293,075.89/x
  3. Step 3: Cross multiply
    497,034.83x = 685,875.44 × 293,075.89
  4. Step 4: Simplify right side
    497,034.83x = 201,013,554,025.14
  5. Step 5: Solve for x
    x = 201,013,554,025.14/497,034.83
  6. Step 6: Final answer
    x = 404,425.49

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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.