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Finding the Fourth Proportional to 714,653.34, 1,070,578.53 and 414,503.34

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Solution

The fourth proportional to 714,653.34, 1,070,578.53 and 414,503.34 is: 620,942.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,653.34 : 1,070,578.53 = 414,503.34 : x
  2. Step 2: Convert to fraction form
    714,653.34/1,070,578.53 = 414,503.34/x
  3. Step 3: Cross multiply
    714,653.34x = 1,070,578.53 × 414,503.34
  4. Step 4: Simplify right side
    714,653.34x = 443,758,376,417.29
  5. Step 5: Solve for x
    x = 443,758,376,417.29/714,653.34
  6. Step 6: Final answer
    x = 620,942.14

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