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Finding the Fourth Proportional to 557,409.60, 836,114.40 and 470,804.40

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Solution

The fourth proportional to 557,409.60, 836,114.40 and 470,804.40 is: 706,206.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,409.60 : 836,114.40 = 470,804.40 : x
  2. Step 2: Convert to fraction form
    557,409.60/836,114.40 = 470,804.40/x
  3. Step 3: Cross multiply
    557,409.60x = 836,114.40 × 470,804.40
  4. Step 4: Simplify right side
    557,409.60x = 393,646,338,423.36
  5. Step 5: Solve for x
    x = 393,646,338,423.36/557,409.60
  6. Step 6: Final answer
    x = 706,206.60

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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.