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Finding the Fourth Proportional to 517,678.39, 714,389.40 and 299,916.76

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Solution

The fourth proportional to 517,678.39, 714,389.40 and 299,916.76 is: 413,881.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,678.39 : 714,389.40 = 299,916.76 : x
  2. Step 2: Convert to fraction form
    517,678.39/714,389.40 = 299,916.76/x
  3. Step 3: Cross multiply
    517,678.39x = 714,389.40 × 299,916.76
  4. Step 4: Simplify right side
    517,678.39x = 214,257,354,226.34
  5. Step 5: Solve for x
    x = 214,257,354,226.34/517,678.39
  6. Step 6: Final answer
    x = 413,881.20

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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.