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Finding the Fourth Proportional to 464,582.51, 696,726.14 and 315,779.03

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Solution

The fourth proportional to 464,582.51, 696,726.14 and 315,779.03 is: 473,568.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,582.51 : 696,726.14 = 315,779.03 : x
  2. Step 2: Convert to fraction form
    464,582.51/696,726.14 = 315,779.03/x
  3. Step 3: Cross multiply
    464,582.51x = 696,726.14 × 315,779.03
  4. Step 4: Simplify right side
    464,582.51x = 220,011,502,215.04
  5. Step 5: Solve for x
    x = 220,011,502,215.04/464,582.51
  6. Step 6: Final answer
    x = 473,568.20

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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.