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Finding the Fourth Proportional to 590,014.64, 814,282.92 and 360,706.16

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Solution

The fourth proportional to 590,014.64, 814,282.92 and 360,706.16 is: 497,812.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    590,014.64 : 814,282.92 = 360,706.16 : x
  2. Step 2: Convert to fraction form
    590,014.64/814,282.92 = 360,706.16/x
  3. Step 3: Cross multiply
    590,014.64x = 814,282.92 × 360,706.16
  4. Step 4: Simplify right side
    590,014.64x = 293,716,865,226.79
  5. Step 5: Solve for x
    x = 293,716,865,226.79/590,014.64
  6. Step 6: Final answer
    x = 497,812.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.