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Finding the Fourth Proportional to 464,133, 640,503.54 and 262,929

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Solution

The fourth proportional to 464,133, 640,503.54 and 262,929 is: 362,842.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,133 : 640,503.54 = 262,929 : x
  2. Step 2: Convert to fraction form
    464,133/640,503.54 = 262,929/x
  3. Step 3: Cross multiply
    464,133x = 640,503.54 × 262,929
  4. Step 4: Simplify right side
    464,133x = 168,406,955,268.66
  5. Step 5: Solve for x
    x = 168,406,955,268.66/464,133
  6. Step 6: Final answer
    x = 362,842.02

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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.