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Finding the Fourth Proportional to 464,389.64, 640,927.75 and 283,206.67

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Solution

The fourth proportional to 464,389.64, 640,927.75 and 283,206.67 is: 390,867.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,389.64 : 640,927.75 = 283,206.67 : x
  2. Step 2: Convert to fraction form
    464,389.64/640,927.75 = 283,206.67/x
  3. Step 3: Cross multiply
    464,389.64x = 640,927.75 × 283,206.67
  4. Step 4: Simplify right side
    464,389.64x = 181,515,009,167.42
  5. Step 5: Solve for x
    x = 181,515,009,167.42/464,389.64
  6. Step 6: Final answer
    x = 390,867.92

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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.