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Finding the Fourth Proportional to 473,206.40, 709,809.60 and 286,582.40

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Solution

The fourth proportional to 473,206.40, 709,809.60 and 286,582.40 is: 429,873.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,206.40 : 709,809.60 = 286,582.40 : x
  2. Step 2: Convert to fraction form
    473,206.40/709,809.60 = 286,582.40/x
  3. Step 3: Cross multiply
    473,206.40x = 709,809.60 × 286,582.40
  4. Step 4: Simplify right side
    473,206.40x = 203,418,938,711.04
  5. Step 5: Solve for x
    x = 203,418,938,711.04/473,206.40
  6. Step 6: Final answer
    x = 429,873.60

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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.