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Finding the Fourth Proportional to 978,459.94, 1,350,422.31 and 596,708.16

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Solution

The fourth proportional to 978,459.94, 1,350,422.31 and 596,708.16 is: 823,547.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,459.94 : 1,350,422.31 = 596,708.16 : x
  2. Step 2: Convert to fraction form
    978,459.94/1,350,422.31 = 596,708.16/x
  3. Step 3: Cross multiply
    978,459.94x = 1,350,422.31 × 596,708.16
  4. Step 4: Simplify right side
    978,459.94x = 805,808,011,823.05
  5. Step 5: Solve for x
    x = 805,808,011,823.05/978,459.94
  6. Step 6: Final answer
    x = 823,547.27

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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.