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Finding the Fourth Proportional to 978,152.32, 1,349,527.53 and 590,823.01

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Solution

The fourth proportional to 978,152.32, 1,349,527.53 and 590,823.01 is: 815,140.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,152.32 : 1,349,527.53 = 590,823.01 : x
  2. Step 2: Convert to fraction form
    978,152.32/1,349,527.53 = 590,823.01/x
  3. Step 3: Cross multiply
    978,152.32x = 1,349,527.53 × 590,823.01
  4. Step 4: Simplify right side
    978,152.32x = 797,331,917,352.47
  5. Step 5: Solve for x
    x = 797,331,917,352.47/978,152.32
  6. Step 6: Final answer
    x = 815,140.85

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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.