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Finding the Fourth Proportional to 514,771.83, 710,383.10 and 288,416.79

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Solution

The fourth proportional to 514,771.83, 710,383.10 and 288,416.79 is: 398,014.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,771.83 : 710,383.10 = 288,416.79 : x
  2. Step 2: Convert to fraction form
    514,771.83/710,383.10 = 288,416.79/x
  3. Step 3: Cross multiply
    514,771.83x = 710,383.10 × 288,416.79
  4. Step 4: Simplify right side
    514,771.83x = 204,886,411,930.17
  5. Step 5: Solve for x
    x = 204,886,411,930.17/514,771.83
  6. Step 6: Final answer
    x = 398,014.03

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1.5x scale

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.