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Finding the Fourth Proportional to 314,420.40, 470,702.34 and 207,607.32

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Solution

The fourth proportional to 314,420.40, 470,702.34 and 207,607.32 is: 310,798.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,420.40 : 470,702.34 = 207,607.32 : x
  2. Step 2: Convert to fraction form
    314,420.40/470,702.34 = 207,607.32/x
  3. Step 3: Cross multiply
    314,420.40x = 470,702.34 × 207,607.32
  4. Step 4: Simplify right side
    314,420.40x = 97,721,251,325.13
  5. Step 5: Solve for x
    x = 97,721,251,325.13/314,420.40
  6. Step 6: Final answer
    x = 310,798.06

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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.