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Finding the Fourth Proportional to 650,904.84, 898,250.04 and 364,437

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Solution

The fourth proportional to 650,904.84, 898,250.04 and 364,437 is: 502,923.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,904.84 : 898,250.04 = 364,437 : x
  2. Step 2: Convert to fraction form
    650,904.84/898,250.04 = 364,437/x
  3. Step 3: Cross multiply
    650,904.84x = 898,250.04 × 364,437
  4. Step 4: Simplify right side
    650,904.84x = 327,355,549,827.48
  5. Step 5: Solve for x
    x = 327,355,549,827.48/650,904.84
  6. Step 6: Final answer
    x = 502,923.82

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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.