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Finding the Fourth Proportional to 470,904.60, 706,356.90 and 249,720.60

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Solution

The fourth proportional to 470,904.60, 706,356.90 and 249,720.60 is: 374,580.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,904.60 : 706,356.90 = 249,720.60 : x
  2. Step 2: Convert to fraction form
    470,904.60/706,356.90 = 249,720.60/x
  3. Step 3: Cross multiply
    470,904.60x = 706,356.90 × 249,720.60
  4. Step 4: Simplify right side
    470,904.60x = 176,391,868,882.14
  5. Step 5: Solve for x
    x = 176,391,868,882.14/470,904.60
  6. Step 6: Final answer
    x = 374,580.90

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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.