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Finding the Fourth Proportional to 406,946.90, 610,420.35 and 340,462.10

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Solution

The fourth proportional to 406,946.90, 610,420.35 and 340,462.10 is: 510,693.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,946.90 : 610,420.35 = 340,462.10 : x
  2. Step 2: Convert to fraction form
    406,946.90/610,420.35 = 340,462.10/x
  3. Step 3: Cross multiply
    406,946.90x = 610,420.35 × 340,462.10
  4. Step 4: Simplify right side
    406,946.90x = 207,824,994,243.74
  5. Step 5: Solve for x
    x = 207,824,994,243.74/406,946.90
  6. Step 6: Final answer
    x = 510,693.15

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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.