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Finding the Fourth Proportional to 473,947.14, 710,291.94 and 207,417.45

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Solution

The fourth proportional to 473,947.14, 710,291.94 and 207,417.45 is: 310,851.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,947.14 : 710,291.94 = 207,417.45 : x
  2. Step 2: Convert to fraction form
    473,947.14/710,291.94 = 207,417.45/x
  3. Step 3: Cross multiply
    473,947.14x = 710,291.94 × 207,417.45
  4. Step 4: Simplify right side
    473,947.14x = 147,326,942,950.35
  5. Step 5: Solve for x
    x = 147,326,942,950.35/473,947.14
  6. Step 6: Final answer
    x = 310,851.00

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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.