Home / 523,823.06-785,785.23-208,209.14

Finding the Fourth Proportional to 523,823.06, 785,785.23 and 208,209.14

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Solution

The fourth proportional to 523,823.06, 785,785.23 and 208,209.14 is: 312,333.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,823.06 : 785,785.23 = 208,209.14 : x
  2. Step 2: Convert to fraction form
    523,823.06/785,785.23 = 208,209.14/x
  3. Step 3: Cross multiply
    523,823.06x = 785,785.23 × 208,209.14
  4. Step 4: Simplify right side
    523,823.06x = 163,607,666,963.00
  5. Step 5: Solve for x
    x = 163,607,666,963.00/523,823.06
  6. Step 6: Final answer
    x = 312,333.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.