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Finding the Fourth Proportional to 473,123.85, 709,849.80 and 207,075.30

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Solution

The fourth proportional to 473,123.85, 709,849.80 and 207,075.30 is: 310,684.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,123.85 : 709,849.80 = 207,075.30 : x
  2. Step 2: Convert to fraction form
    473,123.85/709,849.80 = 207,075.30/x
  3. Step 3: Cross multiply
    473,123.85x = 709,849.80 × 207,075.30
  4. Step 4: Simplify right side
    473,123.85x = 146,992,360,289.94
  5. Step 5: Solve for x
    x = 146,992,360,289.94/473,123.85
  6. Step 6: Final answer
    x = 310,684.74

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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.