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Finding the Fourth Proportional to 1,097,389.10, 1,537,394.50 and 1,097,389.10

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Solution

The fourth proportional to 1,097,389.10, 1,537,394.50 and 1,097,389.10 is: 1,537,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097,389.10 : 1,537,394.50 = 1,097,389.10 : x
  2. Step 2: Convert to fraction form
    1,097,389.10/1,537,394.50 = 1,097,389.10/x
  3. Step 3: Cross multiply
    1,097,389.10x = 1,537,394.50 × 1,097,389.10
  4. Step 4: Simplify right side
    1,097,389.10x = 1,687,119,966,699.95
  5. Step 5: Solve for x
    x = 1,687,119,966,699.95/1,097,389.10
  6. Step 6: Final answer
    x = 1,537,394.50

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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.