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Finding the Fourth Proportional to 514,678.64, 710,464.92 and 333,546.08

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Solution

The fourth proportional to 514,678.64, 710,464.92 and 333,546.08 is: 460,428.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,678.64 : 710,464.92 = 333,546.08 : x
  2. Step 2: Convert to fraction form
    514,678.64/710,464.92 = 333,546.08/x
  3. Step 3: Cross multiply
    514,678.64x = 710,464.92 × 333,546.08
  4. Step 4: Simplify right side
    514,678.64x = 236,972,789,043.51
  5. Step 5: Solve for x
    x = 236,972,789,043.51/514,678.64
  6. Step 6: Final answer
    x = 460,428.65

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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.