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Finding the Fourth Proportional to 510,783.15, 704,880.71 and 296,047.77

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Solution

The fourth proportional to 510,783.15, 704,880.71 and 296,047.77 is: 408,545.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,783.15 : 704,880.71 = 296,047.77 : x
  2. Step 2: Convert to fraction form
    510,783.15/704,880.71 = 296,047.77/x
  3. Step 3: Cross multiply
    510,783.15x = 704,880.71 × 296,047.77
  4. Step 4: Simplify right side
    510,783.15x = 208,678,360,831.28
  5. Step 5: Solve for x
    x = 208,678,360,831.28/510,783.15
  6. Step 6: Final answer
    x = 408,545.90

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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.