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Finding the Fourth Proportional to 468,085.84, 645,956.52 and 253,225.40

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Solution

The fourth proportional to 468,085.84, 645,956.52 and 253,225.40 is: 349,450.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,085.84 : 645,956.52 = 253,225.40 : x
  2. Step 2: Convert to fraction form
    468,085.84/645,956.52 = 253,225.40/x
  3. Step 3: Cross multiply
    468,085.84x = 645,956.52 × 253,225.40
  4. Step 4: Simplify right side
    468,085.84x = 163,572,598,159.61
  5. Step 5: Solve for x
    x = 163,572,598,159.61/468,085.84
  6. Step 6: Final answer
    x = 349,450.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.