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Finding the Fourth Proportional to 429,052.32, 592,108.02 and 259,253.64

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Solution

The fourth proportional to 429,052.32, 592,108.02 and 259,253.64 is: 357,779.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,052.32 : 592,108.02 = 259,253.64 : x
  2. Step 2: Convert to fraction form
    429,052.32/592,108.02 = 259,253.64/x
  3. Step 3: Cross multiply
    429,052.32x = 592,108.02 × 259,253.64
  4. Step 4: Simplify right side
    429,052.32x = 153,506,159,458.19
  5. Step 5: Solve for x
    x = 153,506,159,458.19/429,052.32
  6. Step 6: Final answer
    x = 357,779.58

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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.