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Finding the Fourth Proportional to 411,945.40, 577,553 and 411,945.40

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Solution

The fourth proportional to 411,945.40, 577,553 and 411,945.40 is: 577,553

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,945.40 : 577,553 = 411,945.40 : x
  2. Step 2: Convert to fraction form
    411,945.40/577,553 = 411,945.40/x
  3. Step 3: Cross multiply
    411,945.40x = 577,553 × 411,945.40
  4. Step 4: Simplify right side
    411,945.40x = 237,920,301,606.20
  5. Step 5: Solve for x
    x = 237,920,301,606.20/411,945.40
  6. Step 6: Final answer
    x = 577,553

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Double scale
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1.5x scale

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.