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Finding the Fourth Proportional to 586,883.16, 880,383.06 and 212,935.32

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Solution

The fourth proportional to 586,883.16, 880,383.06 and 212,935.32 is: 319,424.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,883.16 : 880,383.06 = 212,935.32 : x
  2. Step 2: Convert to fraction form
    586,883.16/880,383.06 = 212,935.32/x
  3. Step 3: Cross multiply
    586,883.16x = 880,383.06 × 212,935.32
  4. Step 4: Simplify right side
    586,883.16x = 187,464,648,603.68
  5. Step 5: Solve for x
    x = 187,464,648,603.68/586,883.16
  6. Step 6: Final answer
    x = 319,424.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.