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Finding the Fourth Proportional to 649,294.64, 896,009.42 and 362,817.08

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Solution

The fourth proportional to 649,294.64, 896,009.42 and 362,817.08 is: 500,677.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,294.64 : 896,009.42 = 362,817.08 : x
  2. Step 2: Convert to fraction form
    649,294.64/896,009.42 = 362,817.08/x
  3. Step 3: Cross multiply
    649,294.64x = 896,009.42 × 362,817.08
  4. Step 4: Simplify right side
    649,294.64x = 325,087,521,416.89
  5. Step 5: Solve for x
    x = 325,087,521,416.89/649,294.64
  6. Step 6: Final answer
    x = 500,677.97

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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.