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Finding the Fourth Proportional to 583,147.45, 805,013.64 and 411,205.51

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Solution

The fourth proportional to 583,147.45, 805,013.64 and 411,205.51 is: 567,654.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,147.45 : 805,013.64 = 411,205.51 : x
  2. Step 2: Convert to fraction form
    583,147.45/805,013.64 = 411,205.51/x
  3. Step 3: Cross multiply
    583,147.45x = 805,013.64 × 411,205.51
  4. Step 4: Simplify right side
    583,147.45x = 331,026,044,393.16
  5. Step 5: Solve for x
    x = 331,026,044,393.16/583,147.45
  6. Step 6: Final answer
    x = 567,654.11

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Double scale
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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.