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Finding the Fourth Proportional to 830,116.76, 1,145,364.17 and 467,468.42

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Solution

The fourth proportional to 830,116.76, 1,145,364.17 and 467,468.42 is: 644,995.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,116.76 : 1,145,364.17 = 467,468.42 : x
  2. Step 2: Convert to fraction form
    830,116.76/1,145,364.17 = 467,468.42/x
  3. Step 3: Cross multiply
    830,116.76x = 1,145,364.17 × 467,468.42
  4. Step 4: Simplify right side
    830,116.76x = 535,421,570,810.35
  5. Step 5: Solve for x
    x = 535,421,570,810.35/830,116.76
  6. Step 6: Final answer
    x = 644,995.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.