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Finding the Fourth Proportional to 464,554.10, 697,349.55 and 434,098.10

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Solution

The fourth proportional to 464,554.10, 697,349.55 and 434,098.10 is: 651,631.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,554.10 : 697,349.55 = 434,098.10 : x
  2. Step 2: Convert to fraction form
    464,554.10/697,349.55 = 434,098.10/x
  3. Step 3: Cross multiply
    464,554.10x = 697,349.55 × 434,098.10
  4. Step 4: Simplify right side
    464,554.10x = 302,718,114,690.86
  5. Step 5: Solve for x
    x = 302,718,114,690.86/464,554.10
  6. Step 6: Final answer
    x = 651,631.56

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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.