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Finding the Fourth Proportional to 830,514.30, 1,165,869.30 and 830,514.30

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Solution

The fourth proportional to 830,514.30, 1,165,869.30 and 830,514.30 is: 1,165,869.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,514.30 : 1,165,869.30 = 830,514.30 : x
  2. Step 2: Convert to fraction form
    830,514.30/1,165,869.30 = 830,514.30/x
  3. Step 3: Cross multiply
    830,514.30x = 1,165,869.30 × 830,514.30
  4. Step 4: Simplify right side
    830,514.30x = 968,271,125,580.99
  5. Step 5: Solve for x
    x = 968,271,125,580.99/830,514.30
  6. Step 6: Final answer
    x = 1,165,869.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.