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Finding the Fourth Proportional to 510,888.18, 705,047.46 and 284,533.68

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Solution

The fourth proportional to 510,888.18, 705,047.46 and 284,533.68 is: 392,668.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,888.18 : 705,047.46 = 284,533.68 : x
  2. Step 2: Convert to fraction form
    510,888.18/705,047.46 = 284,533.68/x
  3. Step 3: Cross multiply
    510,888.18x = 705,047.46 × 284,533.68
  4. Step 4: Simplify right side
    510,888.18x = 200,609,748,368.45
  5. Step 5: Solve for x
    x = 200,609,748,368.45/510,888.18
  6. Step 6: Final answer
    x = 392,668.60

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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.