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Finding the Fourth Proportional to 473,471.20, 710,206.80 and 314,038.90

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Solution

The fourth proportional to 473,471.20, 710,206.80 and 314,038.90 is: 471,058.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,471.20 : 710,206.80 = 314,038.90 : x
  2. Step 2: Convert to fraction form
    473,471.20/710,206.80 = 314,038.90/x
  3. Step 3: Cross multiply
    473,471.20x = 710,206.80 × 314,038.90
  4. Step 4: Simplify right side
    473,471.20x = 223,032,562,244.52
  5. Step 5: Solve for x
    x = 223,032,562,244.52/473,471.20
  6. Step 6: Final answer
    x = 471,058.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.