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Finding the Fourth Proportional to 402,300.40, 564,795.20 and 402,300.40

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Solution

The fourth proportional to 402,300.40, 564,795.20 and 402,300.40 is: 564,795.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,300.40 : 564,795.20 = 402,300.40 : x
  2. Step 2: Convert to fraction form
    402,300.40/564,795.20 = 402,300.40/x
  3. Step 3: Cross multiply
    402,300.40x = 564,795.20 × 402,300.40
  4. Step 4: Simplify right side
    402,300.40x = 227,217,334,878.08
  5. Step 5: Solve for x
    x = 227,217,334,878.08/402,300.40
  6. Step 6: Final answer
    x = 564,795.20

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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.