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Finding the Fourth Proportional to 650,623.32, 898,185.78 and 409,038.93

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Solution

The fourth proportional to 650,623.32, 898,185.78 and 409,038.93 is: 564,678.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,623.32 : 898,185.78 = 409,038.93 : x
  2. Step 2: Convert to fraction form
    650,623.32/898,185.78 = 409,038.93/x
  3. Step 3: Cross multiply
    650,623.32x = 898,185.78 × 409,038.93
  4. Step 4: Simplify right side
    650,623.32x = 367,392,950,392.42
  5. Step 5: Solve for x
    x = 367,392,950,392.42/650,623.32
  6. Step 6: Final answer
    x = 564,678.42

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1.5x scale

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.