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Finding the Fourth Proportional to 507,301.02, 698,482.04 and 430,661.25

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Solution

The fourth proportional to 507,301.02, 698,482.04 and 430,661.25 is: 592,959.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,301.02 : 698,482.04 = 430,661.25 : x
  2. Step 2: Convert to fraction form
    507,301.02/698,482.04 = 430,661.25/x
  3. Step 3: Cross multiply
    507,301.02x = 698,482.04 × 430,661.25
  4. Step 4: Simplify right side
    507,301.02x = 300,809,146,295.64
  5. Step 5: Solve for x
    x = 300,809,146,295.64/507,301.02
  6. Step 6: Final answer
    x = 592,959.87

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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.