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Finding the Fourth Proportional to 470,805.60, 706,208.40 and 249,621.60

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Solution

The fourth proportional to 470,805.60, 706,208.40 and 249,621.60 is: 374,432.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,805.60 : 706,208.40 = 249,621.60 : x
  2. Step 2: Convert to fraction form
    470,805.60/706,208.40 = 249,621.60/x
  3. Step 3: Cross multiply
    470,805.60x = 706,208.40 × 249,621.60
  4. Step 4: Simplify right side
    470,805.60x = 176,284,870,741.44
  5. Step 5: Solve for x
    x = 176,284,870,741.44/470,805.60
  6. Step 6: Final answer
    x = 374,432.40

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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.