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Finding the Fourth Proportional to 473,001.90, 709,502.85 and 463,670.70

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Solution

The fourth proportional to 473,001.90, 709,502.85 and 463,670.70 is: 695,506.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,001.90 : 709,502.85 = 463,670.70 : x
  2. Step 2: Convert to fraction form
    473,001.90/709,502.85 = 463,670.70/x
  3. Step 3: Cross multiply
    473,001.90x = 709,502.85 × 463,670.70
  4. Step 4: Simplify right side
    473,001.90x = 328,975,683,111.50
  5. Step 5: Solve for x
    x = 328,975,683,111.50/473,001.90
  6. Step 6: Final answer
    x = 695,506.05

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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.