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Finding the Fourth Proportional to 346,542.32, 519,509.76 and 166,538.08

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Solution

The fourth proportional to 346,542.32, 519,509.76 and 166,538.08 is: 249,661.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,542.32 : 519,509.76 = 166,538.08 : x
  2. Step 2: Convert to fraction form
    346,542.32/519,509.76 = 166,538.08/x
  3. Step 3: Cross multiply
    346,542.32x = 519,509.76 × 166,538.08
  4. Step 4: Simplify right side
    346,542.32x = 86,518,157,971.66
  5. Step 5: Solve for x
    x = 86,518,157,971.66/346,542.32
  6. Step 6: Final answer
    x = 249,661.16

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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.