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Finding the Fourth Proportional to 507,352.14, 698,552.64 and 430,712.46

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Solution

The fourth proportional to 507,352.14, 698,552.64 and 430,712.46 is: 593,030.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,352.14 : 698,552.64 = 430,712.46 : x
  2. Step 2: Convert to fraction form
    507,352.14/698,552.64 = 430,712.46/x
  3. Step 3: Cross multiply
    507,352.14x = 698,552.64 × 430,712.46
  4. Step 4: Simplify right side
    507,352.14x = 300,875,326,013.89
  5. Step 5: Solve for x
    x = 300,875,326,013.89/507,352.14
  6. Step 6: Final answer
    x = 593,030.56

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Why These Related Problems?

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