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Finding the Fourth Proportional to 704,564.25, 972,270.32 and 382,262.01

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Solution

The fourth proportional to 704,564.25, 972,270.32 and 382,262.01 is: 527,506.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,564.25 : 972,270.32 = 382,262.01 : x
  2. Step 2: Convert to fraction form
    704,564.25/972,270.32 = 382,262.01/x
  3. Step 3: Cross multiply
    704,564.25x = 972,270.32 × 382,262.01
  4. Step 4: Simplify right side
    704,564.25x = 371,662,004,875.23
  5. Step 5: Solve for x
    x = 371,662,004,875.23/704,564.25
  6. Step 6: Final answer
    x = 527,506.19

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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.