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Finding the Fourth Proportional to 709,078.16, 978,526.25 and 386,788.25

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Solution

The fourth proportional to 709,078.16, 978,526.25 and 386,788.25 is: 533,766.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,078.16 : 978,526.25 = 386,788.25 : x
  2. Step 2: Convert to fraction form
    709,078.16/978,526.25 = 386,788.25/x
  3. Step 3: Cross multiply
    709,078.16x = 978,526.25 × 386,788.25
  4. Step 4: Simplify right side
    709,078.16x = 378,482,457,779.39
  5. Step 5: Solve for x
    x = 378,482,457,779.39/709,078.16
  6. Step 6: Final answer
    x = 533,766.91

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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.