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Finding the Fourth Proportional to 497,504.77, 686,574.93 and 282,681.22

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Solution

The fourth proportional to 497,504.77, 686,574.93 and 282,681.22 is: 390,110.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,504.77 : 686,574.93 = 282,681.22 : x
  2. Step 2: Convert to fraction form
    497,504.77/686,574.93 = 282,681.22/x
  3. Step 3: Cross multiply
    497,504.77x = 686,574.93 × 282,681.22
  4. Step 4: Simplify right side
    497,504.77x = 194,081,838,833.82
  5. Step 5: Solve for x
    x = 194,081,838,833.82/497,504.77
  6. Step 6: Final answer
    x = 390,110.51

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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.