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Finding the Fourth Proportional to 411,946.90, 577,555.10 and 411,946.90

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Solution

The fourth proportional to 411,946.90, 577,555.10 and 411,946.90 is: 577,555.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,946.90 : 577,555.10 = 411,946.90 : x
  2. Step 2: Convert to fraction form
    411,946.90/577,555.10 = 411,946.90/x
  3. Step 3: Cross multiply
    411,946.90x = 577,555.10 × 411,946.90
  4. Step 4: Simplify right side
    411,946.90x = 237,922,033,024.19
  5. Step 5: Solve for x
    x = 237,922,033,024.19/411,946.90
  6. Step 6: Final answer
    x = 577,555.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.