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Finding the Fourth Proportional to 310,030.60, 465,045.90 and 305,883.40

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Solution

The fourth proportional to 310,030.60, 465,045.90 and 305,883.40 is: 458,825.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,030.60 : 465,045.90 = 305,883.40 : x
  2. Step 2: Convert to fraction form
    310,030.60/465,045.90 = 305,883.40/x
  3. Step 3: Cross multiply
    310,030.60x = 465,045.90 × 305,883.40
  4. Step 4: Simplify right side
    310,030.60x = 142,249,821,048.06
  5. Step 5: Solve for x
    x = 142,249,821,048.06/310,030.60
  6. Step 6: Final answer
    x = 458,825.10

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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.