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Finding the Fourth Proportional to 583,713, 805,525.02 and 315,441

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Solution

The fourth proportional to 583,713, 805,525.02 and 315,441 is: 435,309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,713 : 805,525.02 = 315,441 : x
  2. Step 2: Convert to fraction form
    583,713/805,525.02 = 315,441/x
  3. Step 3: Cross multiply
    583,713x = 805,525.02 × 315,441
  4. Step 4: Simplify right side
    583,713x = 254,095,617,833.82
  5. Step 5: Solve for x
    x = 254,095,617,833.82/583,713
  6. Step 6: Final answer
    x = 435,309.16

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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.