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Finding the Fourth Proportional to 570,283.68, 786,938.16 and 340,795.42

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Solution

The fourth proportional to 570,283.68, 786,938.16 and 340,795.42 is: 470,265.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    570,283.68 : 786,938.16 = 340,795.42 : x
  2. Step 2: Convert to fraction form
    570,283.68/786,938.16 = 340,795.42/x
  3. Step 3: Cross multiply
    570,283.68x = 786,938.16 × 340,795.42
  4. Step 4: Simplify right side
    570,283.68x = 268,184,920,751.23
  5. Step 5: Solve for x
    x = 268,184,920,751.23/570,283.68
  6. Step 6: Final answer
    x = 470,265.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.