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Finding the Fourth Proportional to 509,407.80, 764,111.70 and 470,916.60

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Solution

The fourth proportional to 509,407.80, 764,111.70 and 470,916.60 is: 706,374.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,407.80 : 764,111.70 = 470,916.60 : x
  2. Step 2: Convert to fraction form
    509,407.80/764,111.70 = 470,916.60/x
  3. Step 3: Cross multiply
    509,407.80x = 764,111.70 × 470,916.60
  4. Step 4: Simplify right side
    509,407.80x = 359,832,883,784.22
  5. Step 5: Solve for x
    x = 359,832,883,784.22/509,407.80
  6. Step 6: Final answer
    x = 706,374.90

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1.5x scale

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.